Zobrazeno 1 - 10
of 57
pro vyhledávání: '"A. R. Sourour"'
Autor:
Heydar Radjavi, A. R. Sourour
Publikováno v:
Semigroup Forum. 102:274-287
We investigate the structure of the multiplicative semigroup generated by the set of matrices that are unitarily equivalent to a given invertible matrix A. In particular, we give necessary and sufficient conditions for such a semigroup to be the spec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22cc124247a008649f304699be55bcab
https://doi.org/10.1007/s00233-020-10139-w
https://doi.org/10.1007/s00233-020-10139-w
Autor:
A. R. Sourour, Martin Mathieu
Publikováno v:
Proceedings of the American Mathematical Society. 142:129-135
We prove that unital surjective spectral isometries on certain non-simple unital C*-algebras are Jordan isomorphisms. Along the way, we establish several general facts in the setting of semisimple Banach algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e395e12019253d8b6a453d63092b94e
https://doi.org/10.1090/s0002-9939-2013-11704-1
https://doi.org/10.1090/s0002-9939-2013-11704-1
Publikováno v:
Studia Mathematica. 214:279-296
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7dcd54c61f61e9f235accac8907154a
https://doi.org/10.4064/sm214-3-6
https://doi.org/10.4064/sm214-3-6
Autor:
L. W. Marcoux, A. R. Sourour
Publikováno v:
Journal of the London Mathematical Society. 85:549-570
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a89714ca271b9d7644782b9be2d092ea
https://doi.org/10.1112/jlms/jdr065
https://doi.org/10.1112/jlms/jdr065
Publikováno v:
Proceedings of the American Mathematical Society. 138:717-724
Let A be a bounded linear operator on a complex Banach space X. A problem, motivated by the operator method used to solve integrable systems such as the Korteweg-deVries (KdV), modified KdV, sine-Gordon, and Kadomtsev-Petviashvili (KP) equations, is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b118613e227e935ca7bbf4d381833896
https://doi.org/10.1090/s0002-9939-09-10118-1
https://doi.org/10.1090/s0002-9939-09-10118-1
Publikováno v:
Linear Algebra and its Applications. 429(7):1478-1488
For 0 q 1 , the q -numerical range is defined on the algebra M n of all n × n complex matrices by W q ( A ) = { x ∗ Ay : x , y ∈ C n , ∥ x ∥ = ∥ y ∥ = 1 , 〈 y , x 〉 = q } . The q -numerical radius is defined by r q ( A ) = max { | μ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d01de1605d784e0780d8bb74c16e87ec
Autor:
A. R. Sourour, Heydar Radjavi
Publikováno v:
Linear and Multilinear Algebra. 55:417-428
We investigate the structure of the multiplicative semigroup generated by the set of matrices that are unitarily equivalent to a given singular matrix A. In particular, we give necessary and sufficient conditions, in terms of the singular values of A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f37932f4324628f1e9f0d4e5fe36e22d
https://doi.org/10.1080/03081080500423833
https://doi.org/10.1080/03081080500423833
Publikováno v:
Canadian Mathematical Bulletin. 48:267-274
It is proved that every adjacency preserving continuous map on the vector space of real matrices of fixed size, is either a bijective affine tranformation of the form A ⟼ PAQ + R, possibly followed by the transposition if the matrices are of square
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a6872d205b6fc978ffe820acf1fe54f
https://doi.org/10.4153/cmb-2005-025-6
https://doi.org/10.4153/cmb-2005-025-6
Autor:
A. R. Sourour, Martin Mathieu
Publikováno v:
Queen's University Belfast-PURE
We prove that a unital surjective spectral isometry between von Neumann algebras one of which is of type I is a Jordan isomorphism. This is based on a study of some hereditary properties of spectral isometries.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03448581750a0fbebf01d3b0942dc648
https://doi.org/10.1007/s00013-003-0595-5
https://doi.org/10.1007/s00013-003-0595-5
Publikováno v:
Archiv der Mathematik. 81:175-181
We characterize the linear isometries for Ky-Fan norms on the space of block triangular matrices.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e59a64103077bc866c4edcba44e05e1
https://doi.org/10.1007/s00013-003-0514-9
https://doi.org/10.1007/s00013-003-0514-9