THE BISHOP-PHELPS-BOLLOBAS PROPERTY FOR HERMITIAN FORMS ON HILBERT SPACES

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Citations

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8

초록

In this paper, we prove that the Bishop-Phelps-Bollobas 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-Bollobas Theorem for operators in the Schatten-von Neumann classes is also obtained.

키워드

OPERATORSTHEOREMNORM
제목
THE BISHOP-PHELPS-BOLLOBAS PROPERTY FOR HERMITIAN FORMS ON HILBERT SPACES
저자
Garcia, DomingoMaestre, ManuelLee, Han Ju
DOI
10.1093/qmath/hat004
발행일
2014-03
유형
Article
저널명
Quarterly Journal of Mathematics
65
1
페이지
201 ~ 209