Some lower bound estimates for resolvents of a compact operator on an infinite-dimensional Hilbert space

Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao

Research output: Contribution to journalArticle

Abstract

This paper presents some lower estimates for resolvents of a compact operator A on an infinite-dimensional Hilbert space. Usually, upper estimates for resolvents are known under suitable conditions but lower estimates are not known. These estimates enable us to calculate suitability results for approximation of a resolvent.

Original languageEnglish
Article number112561
JournalJournal of Computational and Applied Mathematics
DOIs
Publication statusAccepted/In press - Jan 1 2019

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Hilbert spaces
Compact Operator
Resolvent
Mathematical operators
Hilbert space
Lower bound
Estimate
Calculate
Approximation

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Cite this

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