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The Resource Commuting nonselfadjoint operators in Hilbert space : two independent studies, Moshe S. Livšic, Leonid L. Waksman

Commuting nonselfadjoint operators in Hilbert space : two independent studies, Moshe S. Livšic, Leonid L. Waksman

Label
Commuting nonselfadjoint operators in Hilbert space : two independent studies
Title
Commuting nonselfadjoint operators in Hilbert space
Title remainder
two independent studies
Statement of responsibility
Moshe S. Livšic, Leonid L. Waksman
Creator
Contributor
Subject
Language
eng
Summary
Classification of commuting non-selfadjoint operators is one of the most challenging problems in operator theory even in the finite-dimensional case. The spectral analysis of dissipative operators has led to a series of deep results in the framework of unitary dilations and characteristic operator functions. It has turned out that the theory has to be based on analytic functions on algebraic manifolds and not on functions of several independent variables as was previously believed. This follows from the generalized Cayley-Hamilton Theorem, due to M.S. Livsic: "Two commuting operators with finite dimensional imaginary parts are connected in the generic case, by a certain algebraic equation whose degree does not exceed the dimension of the sum of the ranges of imaginary parts." Such investigations have been carried out in two directions. One of them, presented by L.L. Waksman, is related to semigroups of projections of multiplication operators on Riemann surfaces. Another direction, which is presented here by M.S. Livsic is based on operator colligations and collective motions of systems. Every given wave equation can be obtained as an external manifestation of collective motions. The algebraic equation mentioned above is the corresponding dispersion law of the input-output waves
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorName
Livšic, Moshe S
Dewey number
515.724
Index
index present
LC call number
QA3
LC item number
.L33 no.1272
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Waksman, Leonid L
Series statement
Lecture notes in mathematics,
Series volume
1272
http://library.link/vocab/subjectName
  • Nonselfadjoint operators
  • Hilbert space
  • Harmonic analysis
  • Opérateurs non auto-adjoints
  • Hilbert, Espace de
  • Harmonic analysis
  • Hilbert space
  • Nonselfadjoint operators
  • Opérateurs non auto-adjoints
  • Hilbert, Espaces de
  • Analyse harmonique
  • Vertauschbarer Operator
  • Hilbert-Raum
Label
Commuting nonselfadjoint operators in Hilbert space : two independent studies, Moshe S. Livšic, Leonid L. Waksman
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Commuting nonselfadjoint operators and collective motions of systems / M.S. Livšic -- Harmonic analysis of multi-parameter semigroups of contractions / L. Waksman
Control code
283747612
Dimensions
unknown
Extent
1 online resource (114 pages).
Form of item
online
Isbn
9783540478775
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)283747612
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Commuting nonselfadjoint operators in Hilbert space : two independent studies, Moshe S. Livšic, Leonid L. Waksman
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Commuting nonselfadjoint operators and collective motions of systems / M.S. Livšic -- Harmonic analysis of multi-parameter semigroups of contractions / L. Waksman
Control code
283747612
Dimensions
unknown
Extent
1 online resource (114 pages).
Form of item
online
Isbn
9783540478775
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)283747612
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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