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

General Mathematics

Cite this

@article{a570ea9602614008a2cd4b7736f4a7d7,

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",

year = "2009",

month = jul,

language = "English",

volume = "93",

pages = "59--66",

journal = "Archiv der Mathematik",

issn = "0003-889X",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

TY - JOUR

T1 - The level sets of the resolvent norm and convexity properties of Banach spaces

AU - Shkarin, Stanislav

AU - Shargorodsky, E.

PY - 2009/7

Y1 - 2009/7

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.

AB - 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.

M3 - Article

SN - 0003-889X

VL - 93

SP - 59

EP - 66

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 1

ER -

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

Abstract

ASJC Scopus subject areas

Fingerprint

Cite this