A bound for functions defined on a normed space

M. I. Gil

doi:10.1088/1751-8113/40/15/003

A bound for functions defined on a normed space

M. I. Gil

Department of Mathematics

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

1 Scopus citations

Abstract

Let X be a complex normed space and f a complex valued function defined on X. Assume that is an entire function for all A,B ε X and there is a scalar monotone non-decreasing function G defined on [0,∞), such that mathmatical equation represntative. It is proved that mathmatical equation represntative. Applications of this inequality to perturbations of the regularized determinants of the von Neumann-Schatten operators are also discussed.

Original language	English
Pages (from-to)	4087-4091
Number of pages	5
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	40
Issue number	15
DOIs	https://doi.org/10.1088/1751-8113/40/15/003
State	Published - 13 Apr 2007

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8113/40/15/003

Cite this

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A bound for functions defined on a normed space

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