The Bishop-Phelps-Bollobás property for hermitian forms on Hilbert spaces

Domingo García; Manuel Maestre; Han Ju Lee

doi:10.1093/qmath/hat004

The Bishop-Phelps-Bollobás property for hermitian forms on Hilbert spaces

Domingo García
, Manuel Maestre
, Han Ju Lee

Department of Mathematics Education

University of Valencia

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

8 Scopus citations

Abstract

In this paper, we prove that the Bishop-Phelps-Bollobás Theorem holds for hermitian forms on a complex Hilbert space and for symmetric bilinear forms on a real or complex Hilbert space. The Bishop-Phelps-Bollobás Theorem for operators in the Schatten-von Neumann classes is also obtained.

Original language	English
Pages (from-to)	201-209
Number of pages	9
Journal	Quarterly Journal of Mathematics
Volume	65
Issue number	1
DOIs	https://doi.org/10.1093/qmath/hat004
State	Published - Mar 2014

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title = "The Bishop-Phelps-Bollob{\'a}s property for hermitian forms on Hilbert spaces",

abstract = "In this paper, we prove that the Bishop-Phelps-Bollob{\'a}s Theorem holds for hermitian forms on a complex Hilbert space and for symmetric bilinear forms on a real or complex Hilbert space. The Bishop-Phelps-Bollob{\'a}s Theorem for operators in the Schatten-von Neumann classes is also obtained.",

author = "Domingo Garc{\'i}a and Manuel Maestre and Lee, \{Han Ju\}",

year = "2014",

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T1 - The Bishop-Phelps-Bollobás property for hermitian forms on Hilbert spaces

AU - García, Domingo

AU - Maestre, Manuel

AU - Lee, Han Ju

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Y1 - 2014/3

N2 - In this paper, we prove that the Bishop-Phelps-Bollobás Theorem holds for hermitian forms on a complex Hilbert space and for symmetric bilinear forms on a real or complex Hilbert space. The Bishop-Phelps-Bollobás Theorem for operators in the Schatten-von Neumann classes is also obtained.

AB - In this paper, we prove that the Bishop-Phelps-Bollobás Theorem holds for hermitian forms on a complex Hilbert space and for symmetric bilinear forms on a real or complex Hilbert space. The Bishop-Phelps-Bollobás Theorem for operators in the Schatten-von Neumann classes is also obtained.

UR - https://www.scopus.com/pages/publications/84894667571

U2 - 10.1093/qmath/hat004

DO - 10.1093/qmath/hat004

M3 - Article

AN - SCOPUS:84894667571

SN - 0033-5606

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SP - 201

EP - 209

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 1

ER -

The Bishop-Phelps-Bollobás property for hermitian forms on Hilbert spaces

Abstract

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