Birkhoff–James orthogonality and algebraic maximal numerical range in C*-algebras

2021 ◽  
pp. 1-12
Author(s):  
El Hassan Benabdi ◽  
Abderrahim Baghdad ◽  
Mohamed Chraibi Kaadoud
Keyword(s):  
Numerical Range ◽  
C Algebras ◽  
James Orthogonality

a-Numerical range on $$C^*$$-algebras

Positivity ◽  
2021 ◽  
Author(s):  
Abdellatif Bourhim ◽  
Mohamed Mabrouk
Keyword(s):  
Numerical Range ◽  
C Algebras

scholarly journals A Note on Symmetry of Birkhoff-James Orthogonality in Positive Cones of Locally C*-algebras

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 1027
Author(s):  
Alexander A. Katz
Keyword(s):  
Present Note ◽  
C Algebras ◽  
James Orthogonality

In the present note some results of Kimuro, Saito, and Tanaka on symmetry of Birkhoff-James orthogonality in positive cones of C*-algebras are extended to locally C*-algebras.

scholarly journals Numerical range and orthogonality in normed spaces

Filomat ◽  
2009 ◽  
Vol 23 (1) ◽  
pp. 21-41 ◽  
Author(s):  
A. Bachir ◽  
A. Segres
Keyword(s):  
Normed Linear Space ◽  
Numerical Range ◽  
Positive Answer ◽  
Duality Mapping ◽  
Normed Algebra ◽  
Normed Spaces ◽  
Linear Spaces ◽  
Normalized Duality Mapping ◽  
James Orthogonality ◽  
Orthogonality In Normed Spaces

Introducing the concept of the normalized duality mapping on normed linear space and normed algebra, we extend the usual definitions of the numerical range from one operator to two operators. In this note we study the convexity of these types of numerical ranges in normed algebras and linear spaces. We establish some Birkhoff-James orthogonality results in terms of the algebra numerical range V (T)A which generalize those given by J.P. William and J.P. Stamplfli. Finally, we give a positive answer of the Mathieu's question. .

Orthograph related to mutual strong Birkhoff–James orthogonality in $$C^*$$-algebras

2020 ◽  
Vol 14 (4) ◽  
pp. 1751-1772 ◽  
Author(s):  
Ljiljana Arambašić ◽  
Alexander Guterman ◽  
Bojan Kuzma ◽  
Rajna Rajić ◽  
Svetlana Zhilina
Keyword(s):  
C Algebras ◽  
James Orthogonality

scholarly journals Numerical Range-preserving Linear Maps Between C*- Algebras

2010 ◽  
Vol 01 (03) ◽  
pp. 160-166
Author(s):  
A. Taghavi ◽  
R. Parvinianzadeh
Keyword(s):  
Numerical Range ◽  
C Algebras ◽  
Linear Maps

An Introduction to K-Theory for C*-Algebras

2000 ◽  
Author(s):  
M. Rørdam ◽  
F. Larsen ◽  
N. Laustsen
Keyword(s):  
C Algebras ◽  
K Theory

A new method for approximation of closed convex subsets of B(H)

Filomat ◽  
2017 ◽  
Vol 31 (19) ◽  
pp. 6005-6013
Author(s):  
Mahdi Iranmanesh ◽  
Fatemeh Soleimany
Keyword(s):  
Best Approximation ◽  
Numerical Range ◽  
New Method ◽  
C Algebra ◽  
Convex Subsets

In this paper we use the concept of numerical range to characterize best approximation points in closed convex subsets of B(H): Finally by using this method we give also a useful characterization of best approximation in closed convex subsets of a C*-algebra A.

scholarly journals Optimal transport and unitary orbits in C⁎-algebras

2021 ◽  
Vol 281 (5) ◽  
pp. 109068
Author(s):  
Bhishan Jacelon ◽  
Karen R. Strung ◽  
Alessandro Vignati
Keyword(s):  
Optimal Transport ◽  
C Algebras
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