نتایج جستجو برای: lau product of banach algebras

تعداد نتایج: 21193764  

In this paper, we establish some new critical fixed point theorems for the sum $AB+C$ in a Banach algebra relative to the weak topology, where $frac{I-C}{A}$ allows to be noninvertible. In addition, a special class of Banach algebras will be considered.

1988
S. TAKAHASI

An extension of the Helson-Edwards theorem for the group algebras to Banach modules over commutative Banach algebras is given. This extension can be viewed as a generalization of Liu-Rooij-Wang's result for Banach modules over the group algebras.

Journal: :Proceedings of the American Mathematical Society 1973

Journal: :Operator theory 2021

This survey aims to highlight some of the consequences that representable (and continuous) functionals have in framework Banach quasi *-algebras. In particular, we look at link between notions *-semisimplicity and full representability which are involved. Then, emphasize their essential role studying *-derivations properties for tensor product Hilbert *-algebras, a special class

Journal: :Proceedings of the American Mathematical Society 1973

Journal: :Journal of Mathematical Analysis and Applications 2015

Journal: :bulletin of the iranian mathematical society 2011
l. mousavi f. sady

for two algebras $a$ and $b$, a linear map $t:a longrightarrow b$ is called separating, if $xcdot y=0$ implies $txcdot ty=0$ for all $x,yin a$. the general form and the automatic continuity of separating maps between various banach algebras have been studied extensively. in this paper, we first extend the notion of separating map for module case and then we give a description of a linear separa...

Journal: :Int. J. Math. Mathematical Sciences 2004
Rachid El Harti

We give sufficient conditions that allow contractible (resp., reflexive amenable) Banach algebras to be finite-dimensional and semisimple algebras. Moreover, we show that any contractible (resp., reflexive amenable) Banach algebra in which every maximal left ideal has a Banach space complement is indeed a direct sum of finitely many full matrix algebras. Finally, we characterize Hermitian ∗-alg...

Journal: :Banach Journal of Mathematical Analysis 2020

2010
OSAMU HATORI

We study the range transformations 0p(/fD, Reß) and Op(/fD, B) for Banach function algebras A and B. As a special instance, the harmonicity of functions in Op(/fD, Re A) for a nontrivial function algebra A is established and is compared with previous investigations of Op( An, A) and Op((Re/l);, (Re/1)) for an interval /. In §2 we present some results on Op(AD, B) and use them to show that funct...

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