Results 1 to 10 of about 18,679 (117)
A Certain Class of Character Module Homomorphisms on Normed Algebras [PDF]
Sahand Communications in Mathematical Analysis, 2018 For two normed algebras $A$ and $B$ with the character space $bigtriangleup(B)neq emptyset$ and a left $B-$module $X,$ a certain class of bounded linear maps from $A$ into $X$ is introduced.
Ali Reza Khoddami
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Hypo-q-Norms on a Cartesian Product of Algebras of Operators on Banach Spaces
Annales Mathematicae Silesianae, 2020 In this paper we consider the hypo-q-operator norm and hypo-q-numerical radius on a Cartesian product of algebras of bounded linear operators on Banach spaces.
Dragomir Silvestru Sever
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Centralizers in semisimple algebras, and descent spectrum in Banach algebras [PDF]
, 2011 We prove that semisimple algebras containing some algebraic element whose centralizer is semiperfect are artinian. As a consequence, semisimple complex Banach algebras containing some element whose centralizer is algebraic are finite-dimensional.
Han, Z +5 more
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The Automatic Continuity of Linear Operators on Some Semi-Prime Banach Algebra [PDF]
Pure and Applied Mathematics Journal, 2015 Conditions are given for Banach algebras A and Banach algebras B which insure that every homomorphism T from A into B is automatic continuous. Similar results are obtained for derivations which either map the algebra A into itself.
openaire +1 more source
Frobenius reciprocity and the Haagerup tensor product [PDF]
, 2017 In the context of operator-space modules over C*-algebras, we give a complete characterisation of those C*-correspondences whose associated Haagerup tensor product functors admit left adjoints.
Crisp, Tyrone
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Spectral integration and spectral theory for non-Archimedean Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2002 Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators may be nonanalytic. There are different types of Banach spaces over non-Archimedean fields.
S. Ludkovsky, B. Diarra
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Some properties of shift operators on algebras generated by $*$-polynomials
Karpatsʹkì Matematičnì Publìkacìï, 2018 A $*$-polynomial is a function on a complex Banach space $X,$ which is a sum of so-called $(p,q)$-polynomials. In turn, for non-negative integers $p$ and $q,$ a $(p,q)$-polynomial is a function on $X,$ which is the restriction to the diagonal of some ...
T.V. Vasylyshyn
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The algebraic size of the family of injective operators
Open Mathematics, 2017 In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every separable infinite dimensional Banach
Bernal-González Luis
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When is multiplication in a Banach algebra open? [PDF]
, 2017 We develop the theory of Banach algebras whose multiplication (regarded as a bilinear map) is open. We demonstrate that such algebras must have topological stable rank 1, however the latter condition is strictly weaker and implies only that products of ...
Draga, Szymon, Kania, Tomasz
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On some properties of Banach operators
International Journal of Mathematics and Mathematical Sciences, 2001 A mapping α from a normed space X into itself is called a Banach operator if there is a constant k such that 0 ...
A. B. Thaheem, AbdulRahim Khan
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