An indefinite excursion in operator theory: geometric and spectral treks in Kreĭn spaces
This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2022
|
| Schriftenreihe: | London Mathematical Society lecture note series
476 |
| Schlagworte: | |
| Online-Zugang: | BSB01 BTU01 FHN01 UBG01 Volltext |
| Zusammenfassung: | This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 08 Jul 2022) |
| Beschreibung: | 1 Online-Ressource (xv, 494 Seiten) |
| ISBN: | 9781108979061 |
| DOI: | 10.1017/9781108979061 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV048472011 | ||
| 003 | DE-604 | ||
| 005 | 20220923 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 220916s2022 |||| o||u| ||||||eng d | ||
| 020 | |a 9781108979061 |c Online |9 978-1-108-97906-1 | ||
| 024 | 7 | |a 10.1017/9781108979061 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781108979061 | ||
| 035 | |a (OCoLC)1346085030 | ||
| 035 | |a (DE-599)BVBBV048472011 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-473 |a DE-92 |a DE-634 | ||
| 082 | 0 | |a 515.724 | |
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 100 | 1 | |a Gheondea, Aurelian |0 (DE-588)1248566408 |4 aut | |
| 245 | 1 | 0 | |a An indefinite excursion in operator theory |b geometric and spectral treks in Kreĭn spaces |c Aurelian Gheondea |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2022 | |
| 300 | |a 1 Online-Ressource (xv, 494 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a London Mathematical Society lecture note series | |
| 490 | 0 | |a 476 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 08 Jul 2022) | ||
| 520 | |a This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students | ||
| 650 | 4 | |a Operator theory | |
| 650 | 4 | |a Indefinite inner product spaces | |
| 650 | 4 | |a Kreĭn spaces | |
| 650 | 0 | 7 | |a Operatortheorie |0 (DE-588)4075665-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Krein-Raum |0 (DE-588)4335827-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Operatortheorie |0 (DE-588)4075665-8 |D s |
| 689 | 0 | 1 | |a Krein-Raum |0 (DE-588)4335827-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-1-108-96903-1 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/9781108979061 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-033849766 | ||
| 966 | e | |u https://doi.org/10.1017/9781108979061 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108979061 |l BTU01 |p ZDB-20-CBO |q BTU_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108979061 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/9781108979061 |l UBG01 |p ZDB-20-CBO |q UBG_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804184421559959552 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Gheondea, Aurelian |
| author_GND | (DE-588)1248566408 |
| author_facet | Gheondea, Aurelian |
| author_role | aut |
| author_sort | Gheondea, Aurelian |
| author_variant | a g ag |
| building | Verbundindex |
| bvnumber | BV048472011 |
| classification_rvk | SK 620 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781108979061 (OCoLC)1346085030 (DE-599)BVBBV048472011 |
| dewey-full | 515.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.724 |
| dewey-search | 515.724 |
| dewey-sort | 3515.724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781108979061 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03059nmm a2200529zc 4500</leader><controlfield tag="001">BV048472011</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220923 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">220916s2022 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781108979061</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-108-97906-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/9781108979061</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781108979061</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1346085030</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV048472011</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.724</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Gheondea, Aurelian</subfield><subfield code="0">(DE-588)1248566408</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An indefinite excursion in operator theory</subfield><subfield code="b">geometric and spectral treks in Kreĭn spaces</subfield><subfield code="c">Aurelian Gheondea</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2022</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xv, 494 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">476</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 08 Jul 2022)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operator theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Indefinite inner product spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kreĭn spaces</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Operatortheorie</subfield><subfield code="0">(DE-588)4075665-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Krein-Raum</subfield><subfield code="0">(DE-588)4335827-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Operatortheorie</subfield><subfield code="0">(DE-588)4075665-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Krein-Raum</subfield><subfield code="0">(DE-588)4335827-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">978-1-108-96903-1</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/9781108979061</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-033849766</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108979061</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108979061</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BTU_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108979061</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/9781108979061</subfield><subfield code="l">UBG01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBG_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV048472011 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T20:37:23Z |
| indexdate | 2024-07-10T09:39:04Z |
| institution | BVB |
| isbn | 9781108979061 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033849766 |
| oclc_num | 1346085030 |
| open_access_boolean | |
| owner | DE-12 DE-473 DE-BY-UBG DE-92 DE-634 |
| owner_facet | DE-12 DE-473 DE-BY-UBG DE-92 DE-634 |
| physical | 1 Online-Ressource (xv, 494 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO BTU_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBG_PDA_CBO |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series 476 |
| spelling | Gheondea, Aurelian (DE-588)1248566408 aut An indefinite excursion in operator theory geometric and spectral treks in Kreĭn spaces Aurelian Gheondea Cambridge Cambridge University Press 2022 1 Online-Ressource (xv, 494 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 476 Title from publisher's bibliographic system (viewed on 08 Jul 2022) This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students Operator theory Indefinite inner product spaces Kreĭn spaces Operatortheorie (DE-588)4075665-8 gnd rswk-swf Krein-Raum (DE-588)4335827-5 gnd rswk-swf Operatortheorie (DE-588)4075665-8 s Krein-Raum (DE-588)4335827-5 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-108-96903-1 https://doi.org/10.1017/9781108979061 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Gheondea, Aurelian An indefinite excursion in operator theory geometric and spectral treks in Kreĭn spaces Operator theory Indefinite inner product spaces Kreĭn spaces Operatortheorie (DE-588)4075665-8 gnd Krein-Raum (DE-588)4335827-5 gnd |
| subject_GND | (DE-588)4075665-8 (DE-588)4335827-5 |
| title | An indefinite excursion in operator theory geometric and spectral treks in Kreĭn spaces |
| title_auth | An indefinite excursion in operator theory geometric and spectral treks in Kreĭn spaces |
| title_exact_search | An indefinite excursion in operator theory geometric and spectral treks in Kreĭn spaces |
| title_exact_search_txtP | An indefinite excursion in operator theory geometric and spectral treks in Kreĭn spaces |
| title_full | An indefinite excursion in operator theory geometric and spectral treks in Kreĭn spaces Aurelian Gheondea |
| title_fullStr | An indefinite excursion in operator theory geometric and spectral treks in Kreĭn spaces Aurelian Gheondea |
| title_full_unstemmed | An indefinite excursion in operator theory geometric and spectral treks in Kreĭn spaces Aurelian Gheondea |
| title_short | An indefinite excursion in operator theory |
| title_sort | an indefinite excursion in operator theory geometric and spectral treks in krein spaces |
| title_sub | geometric and spectral treks in Kreĭn spaces |
| topic | Operator theory Indefinite inner product spaces Kreĭn spaces Operatortheorie (DE-588)4075665-8 gnd Krein-Raum (DE-588)4335827-5 gnd |
| topic_facet | Operator theory Indefinite inner product spaces Kreĭn spaces Operatortheorie Krein-Raum |
| url | https://doi.org/10.1017/9781108979061 |
| work_keys_str_mv | AT gheondeaaurelian anindefiniteexcursioninoperatortheorygeometricandspectraltreksinkreinspaces |