Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
A Schur Type Analysis of the Minimal Unitary Hubert Space Extensions of a Krein Space Isometry whose Defect Subspaces are Hubert Spaces
View through CrossRef
We consider a Krein space isometry whose defect subspaces are Hilbert spaces and we show that its minimal unitary Hilbert space extensions are related to one-step isometric Hilbert space extensions and Schur parameters. These unitary extensions give rise to moments and scattering matrices defined on a scale subspace. By means of these notions we solve the labeling problem for the contractive intertwining liftings in the commutant lifting theorem for Krein space contractions.
European Mathematical Society - EMS - Publishing House GmbH
Title: A Schur Type Analysis of the Minimal Unitary Hubert Space Extensions of a Krein Space Isometry whose Defect Subspaces are Hubert Spaces
Description:
We consider a Krein space isometry whose defect subspaces are Hilbert spaces and we show that its minimal unitary Hilbert space extensions are related to one-step isometric Hilbert space extensions and Schur parameters.
These unitary extensions give rise to moments and scattering matrices defined on a scale subspace.
By means of these notions we solve the labeling problem for the contractive intertwining liftings in the commutant lifting theorem for Krein space contractions.
Related Results
Subespacios hiperinvariantes y característicos : una aproximación geométrica
Subespacios hiperinvariantes y característicos : una aproximación geométrica
The aim of this thesis is to study the hyperinvariant and characteristic subspaces of a matrix, or equivalently, of an endomorphism of a finite dimensional vector space. We restric...
On Schur Forms for Matrices with Simple Eigenvalues
On Schur Forms for Matrices with Simple Eigenvalues
In this paper we consider the standard Schur problem for a square matrix A, namely the similarity unitary transformation of A into upper Schur form containing the eigenvalues of A ...
The q-Schur Algebra
The q-Schur Algebra
This book focuses on the representation theory of q-Schur algebras and connections with the representation theory of Hecke algebras and quantum general linear groups. The aim is to...
Seditious Spaces
Seditious Spaces
The title ‘Seditious Spaces’ is derived from one aspect of Britain’s colonial legacy in Malaysia (formerly Malaya): the Sedition Act 1948. While colonial rule may seem like it was ...
Combinatorial aspects of generalizations of Schur functions
Combinatorial aspects of generalizations of Schur functions
The understanding of the space of symmetric functions is gained through the study of its bases. Certain bases can be dened by purely combinatorial methods, sometimes enabling impor...
Krein–Sobolev Orthogonal Polynomials II
Krein–Sobolev Orthogonal Polynomials II
In a recent paper, Littlejohn and Quintero studied the orthogonal polynomials {Kn}n=0∞—which they named Krein–Sobolev polynomials—that are orthogonal in the classical Sobolev space...
Prostor doma u hrvatskim igranim filmovima s temom domovinskog rata
Prostor doma u hrvatskim igranim filmovima s temom domovinskog rata
The dissertation explores the formation of domestic space in contemporary Croatian society through its presentations in the medium of feature films. The cinematic domestic spaces a...
Poster 107: The Use of Coacervate Sustained Release System to Identify the Most Potent BMP for Bone Regeneration
Poster 107: The Use of Coacervate Sustained Release System to Identify the Most Potent BMP for Bone Regeneration
Objectives: Bone morphogenetic proteins (BMPs) belong to the transforming growth factor superfamily that were first discovered by Marshall Urist. There are 14 BMPs identified to da...