Estimates for functions of two commuting infinite matrices and applications

M. I. Gil'

doi:10.1007/s11565-010-0097-x

Estimates for functions of two commuting infinite matrices and applications

M. I. Gil'

Department of Mathematics

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

2 Scopus citations

Abstract

We consider a matrix valued function of two infinite commuting matrices generating bounded operators in a Banach space. Sharp estimates for the norm and entries are derived. Applications of the obtained estimates to differential equations are also discussed.

Original language	English
Pages (from-to)	207-216
Number of pages	10
Journal	Annali dell'Universita di Ferrara
Volume	56
Issue number	1
DOIs	https://doi.org/10.1007/s11565-010-0097-x
State	Published - 7 Apr 2010

Keywords

Functions of infinite commuting matrices
Norm estimates
Partial differential equations in a Banach space

ASJC Scopus subject areas

General Mathematics

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10.1007/s11565-010-0097-x

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title = "Estimates for functions of two commuting infinite matrices and applications",

abstract = "We consider a matrix valued function of two infinite commuting matrices generating bounded operators in a Banach space. Sharp estimates for the norm and entries are derived. Applications of the obtained estimates to differential equations are also discussed.",

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

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

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KW - Functions of infinite commuting matrices

KW - Norm estimates

KW - Partial differential equations in a Banach space

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Estimates for functions of two commuting infinite matrices and applications

Abstract

Keywords

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