Characteristic functions and models of nonself-adjoint operators:
This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators; characteristic functions of a regular extensi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
1996
|
| Series: | Mathematics and its applications
349 |
| Subjects: | |
| Summary: | This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators; characteristic functions of a regular extension; the construction of some operator models for different classes of nonself-adjoint operators; the construction of the selfadjoint dilation of an arbitrary dissipative operator and J-unitary and J-selfadjoint dilations of linear operators; the abstract Lax Phillips scheme in scattering theory for spaces with indefinite metric (Pontryagin spaces); the relation between scattering matrix and the characteristic function of J-nonexpansive operators; a structure of J-nonexpansive operators; and contractions and their triangulation. |
| Physical Description: | IX, 273 S. |
| ISBN: | 0792338790 |
Staff View
MARC
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| 245 | 1 | 0 | |a Characteristic functions and models of nonself-adjoint operators |c by A. Kuzhel |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1996 | |
| 300 | |a IX, 273 S. | ||
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| 490 | 1 | |a Mathematics and its applications |v 349 | |
| 520 | 3 | |a This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators; characteristic functions of a regular extension; the construction of some operator models for different classes of nonself-adjoint operators; the construction of the selfadjoint dilation of an arbitrary dissipative operator and J-unitary and J-selfadjoint dilations of linear operators; the abstract Lax Phillips scheme in scattering theory for spaces with indefinite metric (Pontryagin spaces); the relation between scattering matrix and the characteristic function of J-nonexpansive operators; a structure of J-nonexpansive operators; and contractions and their triangulation. | |
| 650 | 4 | |a Contraction | |
| 650 | 4 | |a Espace Pontrjagin | |
| 650 | 4 | |a Extension | |
| 650 | 4 | |a Fonction caractéristique | |
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| 650 | 4 | |a Opérateur hermitien | |
| 650 | 7 | |a Opérateurs non autoadjoints |2 ram | |
| 650 | 4 | |a Scattering | |
| 650 | 4 | |a Nonselfadjoint operators | |
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Record in the Search Index
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| author_facet | Kuzhel, A. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7246 |
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| dewey-sort | 3515 47246 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011075532 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:03:36Z |
| institution | BVB |
| isbn | 0792338790 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007419395 |
| oclc_num | 33818234 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-11 |
| physical | IX, 273 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Kuzhel, A. Verfasser aut Characteristic functions and models of nonself-adjoint operators by A. Kuzhel Dordrecht [u.a.] Kluwer 1996 IX, 273 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 349 This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators; characteristic functions of a regular extension; the construction of some operator models for different classes of nonself-adjoint operators; the construction of the selfadjoint dilation of an arbitrary dissipative operator and J-unitary and J-selfadjoint dilations of linear operators; the abstract Lax Phillips scheme in scattering theory for spaces with indefinite metric (Pontryagin spaces); the relation between scattering matrix and the characteristic function of J-nonexpansive operators; a structure of J-nonexpansive operators; and contractions and their triangulation. Contraction Espace Pontrjagin Extension Fonction caractéristique Operatoren gtt Opérateur hermitien Opérateurs non autoadjoints ram Scattering Nonselfadjoint operators Nichtselbstadjungierter Operator (DE-588)4405912-7 gnd rswk-swf Charakteristische Funktion (DE-588)4147574-4 gnd rswk-swf Nichtselbstadjungierter Operator (DE-588)4405912-7 s Charakteristische Funktion (DE-588)4147574-4 s DE-604 Mathematics and its applications 349 (DE-604)BV008163334 349 |
| spellingShingle | Kuzhel, A. Characteristic functions and models of nonself-adjoint operators Mathematics and its applications Contraction Espace Pontrjagin Extension Fonction caractéristique Operatoren gtt Opérateur hermitien Opérateurs non autoadjoints ram Scattering Nonselfadjoint operators Nichtselbstadjungierter Operator (DE-588)4405912-7 gnd Charakteristische Funktion (DE-588)4147574-4 gnd |
| subject_GND | (DE-588)4405912-7 (DE-588)4147574-4 |
| title | Characteristic functions and models of nonself-adjoint operators |
| title_auth | Characteristic functions and models of nonself-adjoint operators |
| title_exact_search | Characteristic functions and models of nonself-adjoint operators |
| title_full | Characteristic functions and models of nonself-adjoint operators by A. Kuzhel |
| title_fullStr | Characteristic functions and models of nonself-adjoint operators by A. Kuzhel |
| title_full_unstemmed | Characteristic functions and models of nonself-adjoint operators by A. Kuzhel |
| title_short | Characteristic functions and models of nonself-adjoint operators |
| title_sort | characteristic functions and models of nonself adjoint operators |
| topic | Contraction Espace Pontrjagin Extension Fonction caractéristique Operatoren gtt Opérateur hermitien Opérateurs non autoadjoints ram Scattering Nonselfadjoint operators Nichtselbstadjungierter Operator (DE-588)4405912-7 gnd Charakteristische Funktion (DE-588)4147574-4 gnd |
| topic_facet | Contraction Espace Pontrjagin Extension Fonction caractéristique Operatoren Opérateur hermitien Opérateurs non autoadjoints Scattering Nonselfadjoint operators Nichtselbstadjungierter Operator Charakteristische Funktion |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT kuzhela characteristicfunctionsandmodelsofnonselfadjointoperators |