Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems:
This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalization...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2014
|
| Series: | Encyclopedia of mathematics and its applications
volume 154 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xxii, 712 pages) |
| ISBN: | 9781107337763 |
| DOI: | 10.1017/CBO9781107337763 |
Staff View
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043942494 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2014 |||| o||u| ||||||eng d | ||
| 020 | |a 9781107337763 |c Online |9 978-1-107-33776-3 | ||
| 024 | 7 | |a 10.1017/CBO9781107337763 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781107337763 | ||
| 035 | |a (OCoLC)894732768 | ||
| 035 | |a (DE-599)BVBBV043942494 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 512/.554 |2 23 | |
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 100 | 1 | |a Cabrera García, Miguel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems |c Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2014 | |
| 300 | |a 1 online resource (xxii, 712 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Encyclopedia of mathematics and its applications |v volume 154 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography | ||
| 650 | 4 | |a Banach algebras | |
| 650 | 4 | |a Algebra | |
| 650 | 0 | 7 | |a Banach-Algebra |0 (DE-588)4193187-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Normierte Algebra |0 (DE-588)4172037-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Banach-Algebra |0 (DE-588)4193187-7 |D s |
| 689 | 0 | 1 | |a Normierte Algebra |0 (DE-588)4172037-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Rodriguez Palacios, Ángel |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-1-107-04306-0 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781107337763 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029351464 | ||
| 966 | e | |u https://doi.org/10.1017/CBO9781107337763 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781107337763 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804176885358264320 |
|---|---|
| any_adam_object | |
| author | Cabrera García, Miguel |
| author_facet | Cabrera García, Miguel |
| author_role | aut |
| author_sort | Cabrera García, Miguel |
| author_variant | g m c gm gmc |
| building | Verbundindex |
| bvnumber | BV043942494 |
| classification_rvk | SK 230 SK 600 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781107337763 (OCoLC)894732768 (DE-599)BVBBV043942494 |
| dewey-full | 512/.554 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.554 |
| dewey-search | 512/.554 |
| dewey-sort | 3512 3554 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781107337763 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03096nmm a2200505zcb4500</leader><controlfield tag="001">BV043942494</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2014 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107337763</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-107-33776-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781107337763</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781107337763</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)894732768</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043942494</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-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.554</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 230</subfield><subfield code="0">(DE-625)143225:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cabrera García, Miguel</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems</subfield><subfield code="c">Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xxii, 712 pages)</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">Encyclopedia of mathematics and its applications</subfield><subfield code="v">volume 154</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Banach algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Banach-Algebra</subfield><subfield code="0">(DE-588)4193187-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Normierte Algebra</subfield><subfield code="0">(DE-588)4172037-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Banach-Algebra</subfield><subfield code="0">(DE-588)4193187-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Normierte Algebra</subfield><subfield code="0">(DE-588)4172037-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rodriguez Palacios, Ángel</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-1-107-04306-0</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781107337763</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:BVB01-029351464</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781107337763</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/CBO9781107337763</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></record></collection> |
| id | DE-604.BV043942494 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9781107337763 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351464 |
| oclc_num | 894732768 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xxii, 712 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Cabrera García, Miguel Verfasser aut Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada Cambridge Cambridge University Press 2014 1 online resource (xxii, 712 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 154 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This first systematic account of the basic theory of normed algebras, without assuming associativity, includes many new and unpublished results and is sure to become a central resource for researchers and graduate students in the field. This first volume focuses on the non-associative generalizations of (associative) C*-algebras provided by the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which give rise to alternative C*-algebras and non-commutative JB*-algebras, respectively. The relationship between non-commutative JB*-algebras and JB*-triples is also fully discussed. The second volume covers Zel'manov's celebrated work in Jordan theory to derive classification theorems for non-commutative JB*-algebras and JB*-triples, as well as other topics. The book interweaves pure algebra, geometry of normed spaces, and complex analysis, and includes a wealth of historical comments, background material, examples and exercises. The authors also provide an extensive bibliography Banach algebras Algebra Banach-Algebra (DE-588)4193187-7 gnd rswk-swf Normierte Algebra (DE-588)4172037-4 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 s Normierte Algebra (DE-588)4172037-4 s DE-604 Rodriguez Palacios, Ángel Sonstige oth Erscheint auch als Druckausgabe 978-1-107-04306-0 https://doi.org/10.1017/CBO9781107337763 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Cabrera García, Miguel Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems Banach algebras Algebra Banach-Algebra (DE-588)4193187-7 gnd Normierte Algebra (DE-588)4172037-4 gnd |
| subject_GND | (DE-588)4193187-7 (DE-588)4172037-4 |
| title | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems |
| title_auth | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems |
| title_exact_search | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems |
| title_full | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada |
| title_fullStr | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada |
| title_full_unstemmed | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems Miguel Cabrera García, Universidad de Granada, Ángel Rodriguez Palacios, Universidad de Granada |
| title_short | Non-associative normed algebras, Volume 1, The Vidav-Palmer and Gelfand-Naimark theorems |
| title_sort | non associative normed algebras volume 1 the vidav palmer and gelfand naimark theorems |
| topic | Banach algebras Algebra Banach-Algebra (DE-588)4193187-7 gnd Normierte Algebra (DE-588)4172037-4 gnd |
| topic_facet | Banach algebras Algebra Banach-Algebra Normierte Algebra |
| url | https://doi.org/10.1017/CBO9781107337763 |
| work_keys_str_mv | AT cabreragarciamiguel nonassociativenormedalgebrasvolume1thevidavpalmerandgelfandnaimarktheorems AT rodriguezpalaciosangel nonassociativenormedalgebrasvolume1thevidavpalmerandgelfandnaimarktheorems |