Type I product systems of Hilbert modules
Christensen and Evans showed that, in the language of Hilbert modules, a bounded
derivation on a von Neumann algebra with values in a two-sided von Neumann module (ie a …
derivation on a von Neumann algebra with values in a two-sided von Neumann module (ie a …
[图书][B] Continuous analogues of Fock space
W Arveson - 1989 - books.google.com
The problem of classifying semigroups of endomorphisms of type [italic] I [subscript] infinity
symbol factors to outer conjugacy is reduced to the problem of classifying certain simpler …
symbol factors to outer conjugacy is reduced to the problem of classifying certain simpler …
Commutants of von Neumann Modules, Representations of B^ a (E) and Other Topics Related to Product Systems of Hilbert Modules
M Skeide - arXiv preprint math/0308231, 2003 - arxiv.org
We review some of our results from the theory of product systems of Hilbert modules. We
explain that the product systems obtained from a CP-semigroup in a paper by Bhat and …
explain that the product systems obtained from a CP-semigroup in a paper by Bhat and …
A generalization of Hilbert modules
DP Blecher - journal of functional analysis, 1996 - Elsevier
We show that there is a natural generalization of the notion of a Hilbert C*-module (also
called “Hilbert module,”“inner product module,”“rigged module,” and sometimes “Hermitian …
called “Hilbert module,”“inner product module,”“rigged module,” and sometimes “Hermitian …
Subsystems of Fock need not be Fock: Spatial CP-semigroups
B Bhat, V Liebscher, M Skeide - Proceedings of the American Mathematical …, 2010 - ams.org
We show that a product subsystem of a time ordered system (that is, a product system of time
ordered Fock modules), even one of type I, need not be isomorphic to a time ordered …
ordered Fock modules), even one of type I, need not be isomorphic to a time ordered …
Positive definite kernels and Hilbert C*-modules
GJ Murphy - Proceedings of the Edinburgh Mathematical Society, 1997 - cambridge.org
A theory of positive definite kernels in the context of Hilbert C*-modules is presented.
Applications are given, including a representation of a Hilbert C*-module as a concrete …
Applications are given, including a representation of a Hilbert C*-module as a concrete …
The operator Hilbert space OH and type III von Neumann algebras
G Pisier - Bulletin of the London Mathematical Society, 2004 - cambridge.org
THE OPERATOR HILBERT SPACE OH AND TYPE III VON NEUMANN ALGEBRAS Page 1 Bull.
London Math. Soc. 36 (2004) 455–459 Cо2004 London Mathematical Society DOI …
London Math. Soc. 36 (2004) 455–459 Cо2004 London Mathematical Society DOI …
Dilation theory and continuous tensor product systems of Hilbert modules
M Skeide - Quantum Probability And Infinite-Dimensional Analysis, 2003 - World Scientific
The investigation of products systems of Hilbert modules as introduced by Bhat and Skeide6
has now reached a state where it seems appropriate to give a summary of what we know …
has now reached a state where it seems appropriate to give a summary of what we know …
Units for the time-ordered Fock module
V Liebscher, M Skeide - Infinite Dimensional Analysis, Quantum …, 2001 - World Scientific
We give an explicit formula for all continuous units for the product system associated with an
arbitrary time-ordered Fock module over a two-sided Hilbert ℬ-module. Like in the case of …
arbitrary time-ordered Fock module over a two-sided Hilbert ℬ-module. Like in the case of …
A strong version of the Birkhoff--James orthogonality in Hilbert -modules
L Arambšić, R Rajić - Annals of functional analysis, 2014 - projecteuclid.org
In this paper we introduce a strong version of the Birkhoff--James orthogonality in Hilbert $
C^* $-modules. More precisely, we consider elements $ x $ and $ y $ of a Hilbert $ C …
C^* $-modules. More precisely, we consider elements $ x $ and $ y $ of a Hilbert $ C …