The level sets of the resolvent norm  and convexity properties of Banach spaces

Stanislav Shkarin; E. Shargorodsky

The level sets of the resolvent norm and convexity properties of Banach spaces

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

Abstract

We construct a bounded linear operator on a separable, reflexive and strictly convex Banach space whose resolvent norm is constant in a neighbourhood of zero.

Original language	English
Pages (from-to)	59-66
Number of pages	8
Journal	Archiv der Mathematik
Volume	93
Issue number	1
Publication status	Published - Jul 2009

ASJC Scopus subject areas

Mathematics(all)

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title = "The level sets of the resolvent norm and convexity properties of Banach spaces",

abstract = "We construct a bounded linear operator on a separable, reflexive and strictly convex Banach space whose resolvent norm is constant in a neighbourhood of zero.",

author = "Stanislav Shkarin and E. Shargorodsky",

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N2 - We construct a bounded linear operator on a separable, reflexive and strictly convex Banach space whose resolvent norm is constant in a neighbourhood of zero.

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JO - Archiv der Mathematik

JF - Archiv der Mathematik

SN - 0003-889X

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The level sets of the resolvent norm and convexity properties of Banach spaces

Abstract

ASJC Scopus subject areas

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