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It is shown that Birkhoff-James orthogonality knows everything about the smooth norms in reflexive Banach spaces and can also compute the dimensions of the underlying normed spaces.
Comment: 18 pages and 1 figure
Comment: 18 pages and 1 figure
Externí odkaz:
http://arxiv.org/abs/2109.09414
Akademický článek
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Let $\mathcal A$ be a unital $C^*$-algebra with the unit $e$. We consider the elements $a\in \mathcal A$ which are Roberts orthogonal to the unit $e$. We obtain a characterization of this orthogonality in terms of the Davis--Wielandt shell of $a$ and
Externí odkaz:
http://arxiv.org/abs/1706.05708
Publikováno v:
In Linear Algebra and Its Applications 1 September 2021 624:27-43
Autor:
Arambašić, Ljiljana, Guterman, Alexander, Kuzma, Bojan, Rajić, Rajna, Tanaka, Ryotaro, Zhilina, Svetlana
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM; Oct2024, Vol. 118 Issue 4, p1-23, 23p
Autor:
Moslehian, Mohammad Sal, Rajic, Rajna
Publikováno v:
Linear Algebra Appl. 433 (2010), 1555-1560
Let $\mathscr{A}$ be a unital $C^*$-algebra and let $\Phi: \mathscr{A} \to {\mathbb B}({\mathscr H})$ be a unital $n$-positive linear map between $C^*$-algebras for some $n \geq 3$. We show that $$\|\Phi(AB)-\Phi(A)\Phi(B)\| \leq \Delta(A,||\cdot||)\
Externí odkaz:
http://arxiv.org/abs/1006.1021
Publikováno v:
In Linear Algebra and Its Applications 15 February 2018 539:1-13
Autor:
Rajić, Rajna
Publikováno v:
Proceedings of the American Mathematical Society, 2003 Oct 01. 131(10), 3043-3051.
Externí odkaz:
https://www.jstor.org/stable/1194433
Autor:
Arambašić, Ljiljana, Rajić, Rajna
Publikováno v:
In Linear Algebra and Its Applications 15 April 2015 471:394-404
Autor:
Arambašić, Ljiljana, Rajić, Rajna
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 May 2014 413(1):311-320