Regular functions of operators on tensor products of Hilbert spaces

M. I. Gil

doi:10.1007/s00020-004-1359-8

Regular functions of operators on tensor products of Hilbert spaces

M. I. Gil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A class of linear operators on tensor products of Hilbert spaces is considered. Estimates for the norm of operator-valued functions regular on the spectrum are derived. These results are new even in the finite-dimensional case. By virtue of the obtained estimates, we derive stability conditions for semilinear differential equations. Applications of the mentioned results to integro-differential equations are also discussed.

Original language	English
Pages (from-to)	317-331
Number of pages	15
Journal	Integral Equations and Operator Theory
Volume	54
Issue number	3
DOIs	https://doi.org/10.1007/s00020-004-1359-8
State	Published - 1 Mar 2006

Keywords

Hilbert spaces
Integro-differential equations
Operator functions
Tensor products

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

Access to Document

10.1007/s00020-004-1359-8

Cite this

@article{e6c92e7acee34990b74bd4f9365c654c,

title = "Regular functions of operators on tensor products of Hilbert spaces",

abstract = "A class of linear operators on tensor products of Hilbert spaces is considered. Estimates for the norm of operator-valued functions regular on the spectrum are derived. These results are new even in the finite-dimensional case. By virtue of the obtained estimates, we derive stability conditions for semilinear differential equations. Applications of the mentioned results to integro-differential equations are also discussed.",

keywords = "Hilbert spaces, Integro-differential equations, Operator functions, Tensor products",

author = "Gil, {M. I.}",

note = "Funding Information: This research was supported by the Kamea Fund of the Israel.",

year = "2006",

month = mar,

day = "1",

doi = "10.1007/s00020-004-1359-8",

language = "English",

volume = "54",

pages = "317--331",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Birkhauser Verlag Basel",

number = "3",

}

TY - JOUR

T1 - Regular functions of operators on tensor products of Hilbert spaces

AU - Gil, M. I.

N1 - Funding Information: This research was supported by the Kamea Fund of the Israel.

PY - 2006/3/1

Y1 - 2006/3/1

N2 - A class of linear operators on tensor products of Hilbert spaces is considered. Estimates for the norm of operator-valued functions regular on the spectrum are derived. These results are new even in the finite-dimensional case. By virtue of the obtained estimates, we derive stability conditions for semilinear differential equations. Applications of the mentioned results to integro-differential equations are also discussed.

AB - A class of linear operators on tensor products of Hilbert spaces is considered. Estimates for the norm of operator-valued functions regular on the spectrum are derived. These results are new even in the finite-dimensional case. By virtue of the obtained estimates, we derive stability conditions for semilinear differential equations. Applications of the mentioned results to integro-differential equations are also discussed.

KW - Hilbert spaces

KW - Integro-differential equations

KW - Operator functions

KW - Tensor products

UR - http://www.scopus.com/inward/record.url?scp=32944472904&partnerID=8YFLogxK

U2 - 10.1007/s00020-004-1359-8

DO - 10.1007/s00020-004-1359-8

M3 - Article

AN - SCOPUS:32944472904

SN - 0378-620X

VL - 54

SP - 317

EP - 331

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 3

ER -

Regular functions of operators on tensor products of Hilbert spaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this