Norm estimates for powers of products of operators in a banach space

Michael Gil

Norm estimates for powers of products of operators in a banach space

Department of Mathematics

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

Abstract

Let A and B be bounded linear operators in a Banach space. We consider the following problem: if ∑_κ=0^∞∥A^κ ∥ ∥ B^κ∥ < ∞, under what conditions ∑_κ=0^∞ ∥(AB)^κ ∥ < ∞.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Communications in Mathematical Analysis
Volume	20
Issue number	2
State	Published - 1 Jan 2017

Keywords

Banach space
Norm estimates
Powers of linear operators

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

Cite this

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abstract = "Let A and B be bounded linear operators in a Banach space. We consider the following problem: if ∑κ=0∞∥Aκ ∥ ∥ Bκ∥ < ∞, under what conditions ∑κ=0∞ ∥(AB)κ ∥ < ∞.",

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AB - Let A and B be bounded linear operators in a Banach space. We consider the following problem: if ∑κ=0∞∥Aκ ∥ ∥ Bκ∥ < ∞, under what conditions ∑κ=0∞ ∥(AB)κ ∥ < ∞.

KW - Banach space

KW - Norm estimates

KW - Powers of linear operators

UR - https://www.scopus.com/pages/publications/85039864963

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SN - 1938-9787

VL - 20

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JO - Communications in Mathematical Analysis

JF - Communications in Mathematical Analysis

IS - 2

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Norm estimates for powers of products of operators in a banach space

Abstract

Keywords

ASJC Scopus subject areas

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