The Bishop–Phelps–Bollobás theorem: an overview
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The polarization constant of finite dimensional complex spaces is one
The polarization constant of a Banach space X is defined as\[{\text {c}}(X){\text {}}{\text
{}}\mathop {\lim}\limits_ {k\to\infty}{\text {}}\sup {\text {c}}{(k, X)^{\frac {1}{k}}},\] where\[{\text …
{}}\mathop {\lim}\limits_ {k\to\infty}{\text {}}\sup {\text {c}}{(k, X)^{\frac {1}{k}}},\] where\[{\text …
On the rank and the approximation of symmetric tensors
JT Rodríguez - Linear Algebra and its Applications, 2021 - Elsevier
In this work we study different notions of ranks and approximation of tensors. We consider
the tensor rank, the nuclear rank and we introduce the notion of symmetric decomposable …
the tensor rank, the nuclear rank and we introduce the notion of symmetric decomposable …
Smoothness and norm attainment of bounded bilinear operators between Banach spaces
D Sain - Linear and Multilinear Algebra, 2021 - Taylor & Francis
We study the smoothness and the norm attainment of bounded bilinear operators between
Banach spaces, using the concepts of Birkhoff-James orthogonality and semi-inner …
Banach spaces, using the concepts of Birkhoff-James orthogonality and semi-inner …
[PDF][PDF] The Bishop-Phelps-Bollobás Theorem: An Overview
SM Gil Dantas, D García, M Maestre, Ó Roldán Blay - 2022 - roderic.uv.es
THE BISHOP-PHELPS-BOLLOBAS THEOREM: AN OVERVIEW Contents 1 Motivation and
Historical Background . . . . . . . . . . . . . . . Page 1 THE BISHOP-PHELPS-BOLLOBAS THEOREM …
Historical Background . . . . . . . . . . . . . . . Page 1 THE BISHOP-PHELPS-BOLLOBAS THEOREM …