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Autor:
Bachir, Mohammed
It is well known that under certain conditions on a Banach space $X$, the set of bounded linear operators attaining their numerical radius is a dense subset. We prove in this paper that if $X$ is assumed to be uniformly convex and uniformly smooth th
Externí odkaz:
http://arxiv.org/abs/2212.09186
Autor:
Farenick, Douglas, Tessier, Ryan
We study the issue of issue of purity (as a completely positive linear map) for identity maps on operators systems and for their completely isometric embeddings into their C$^*$-envelopes and injective envelopes. Our most general result states that t
Externí odkaz:
http://arxiv.org/abs/2006.08501
Autor:
Hamdaoui Bouchra El, Bennouna Jaouad
Publikováno v:
Moroccan Journal of Pure and Applied Analysis, Vol 6, Iss 1, Pp 93-117 (2020)
We prove the existence of renormalized solutions to a class of nonlinear evolution equations, supplemented with initial and Dirichlet condition in the framework of generalized Sobolev spaces. The data are assumed merely integrable.
Externí odkaz:
https://doaj.org/article/e2c17825f2514baeb5f4eb406126bbba
Autor:
Tokarev, Eugene
In the article is introduced a new class of Banach spaces that are called sub B-convex. Namely, a Banach space X is said to be B -convex if it may be represented as a direct sum l_1+ W, where W is B-convex. It will be shown that any separable sub B-c
Externí odkaz:
http://arxiv.org/abs/math/0206107
Autor:
Saveliev, Peter
Publikováno v:
Proceedings of the American Mathematical Society, 2003 Mar 01. 131(3), 825-834.
Externí odkaz:
https://www.jstor.org/stable/1194485
Autor:
Botelho, Geraldo, Rueda, Pilar
Publikováno v:
Proceedings of the American Mathematical Society, 2009 Jan 01. 137(1), 219-225.
Externí odkaz:
https://www.jstor.org/stable/20535727
Autor:
Mohammed Bachir
It is well known that under certain conditions on a Banach space $X$, the set of bounded linear operators attaining their numerical radius is a dense subset. We prove in this paper that if $X$ is assumed to be uniformly convex and uniformly smooth th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8d289ea3ae3f43e292647cb26fadc66
Autor:
Douglas Farenick, Ryan Tessier
We study the issue of issue of purity (as a completely positive linear map) for identity maps on operators systems and for their completely isometric embeddings into their C$^*$-envelopes and injective envelopes. Our most general result states that t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f99382ebb358a1064027c19fb6caff9
http://arxiv.org/abs/2006.08501
http://arxiv.org/abs/2006.08501
Autor:
H. Turgay Kaptanog, Daniel Alpay
Publikováno v:
Complex Variables and Elliptic Equations
We show that Drury's proof of the generalisation of the von Neumann inequality to the case of contractive rows of N-tuples of commuting operators still holds in the quaternionic case. The arguments require a seemingly new result on tensor products of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f101baf9a51f00f909e076f715f493be
https://hdl.handle.net/11693/21461
https://hdl.handle.net/11693/21461
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