نتایج جستجو برای: commutative banach algebra

تعداد نتایج: 92686  

Journal: :bulletin of the iranian mathematical society 2015
k. cieplinski

a mapping $f:v^n longrightarrow w$, where $v$ is a commutative semigroup, $w$ is a linear space and $n$ is a positive integer, is called multi-additive if it is additive in each variable. in this paper we prove the hyers-ulam stability of multi-additive mappings in 2-banach spaces. the corollaries from our main results correct some outcomes from [w.-g. park, approximate additive mappings i...

1999
NARCISSE RANDRIANANTOANINA

Let E be a Banach space that does not contain any copy of l and A be a non commutative C∗-algebra. We prove that every absolutely summing operator from A into E∗ is compact, thus answering a question of Pe lczynski. As application, we show that if G is a compact metrizable abelian group and Λ is a Riesz subset of its dual then every countably additiveA∗-valued measure with bounded variation and...

2002
SANJIV KUMAR GUPTA

with the norm ‖f‖Aq = ‖f‖L1 +‖f̂‖lq . Then Aq(G) is a commutative semisimple Banach algebra with maximal ideal space Γ , in which the set of trigonometric polynomials is dense [4]. The Ap-spaces have been studied in [1, 6]. If G is, in addition, a connected group, then its dual can be ordered; there exists a semigroup P ⊂ Γ such that P∩−P = {0}, P∪−P = Γ (see [5]), and we say that γ ∈ Γ is posit...

Journal: :Applied Categorical Structures 2002
Francis Borceux Enrico M. Vitale

We define the notions of Azumaya category and Brauer group in category theory enriched over some very general base category V. We prove the equivalence of various definitions, in particular in terms of separable categories or progenerating bimodules. When V is the category of modules over a commutative ring R with unit, we recapture the classical notions of Azumaya algebra and Brauer group and ...

Journal: :bulletin of the iranian mathematical society 0
a. ghaffari department of‎ ‎mathematics‎, ‎semnan university‎, ‎p.o‎. ‎box 35195-363‎, ‎semnan‎, ‎iran. s. javadi department of‎ ‎mathematics, ‎semnan university, ‎p.o‎. ‎box 35195-363‎, ‎semnan‎, ‎iran.

‎generalizing the notion of character amenability for banach‎ ‎algebras‎, ‎we study the concept of $varphi$-connes amenability of‎ ‎a dual banach algebra $mathcal{a}$ with predual $mathcal{a}_*$‎, ‎where $varphi$ is a homomorphism from $mathcal{a}$ onto $bbb c$‎ ‎that lies in $mathcal{a}_*$‎. ‎several characterizations of‎ ‎$varphi$-connes amenability are given‎. ‎we also prove that the‎ ‎follo...

Journal: :international journal of nonlinear analysis and applications 2010
a. bodaghi

in this paper we study the module contractibility ofbanach algebras and characterize them in terms the conceptssplitting and admissibility of short exact sequences. also weinvestigate module contractibility of banach algebras with theconcept of the module diagonal.

Journal: :bulletin of the iranian mathematical society 0
a. sahleh faculty of mathematical sciences‎, ‎university‎ ‎of guilan‎, ‎p.o‎. ‎box 1914‎, ‎rasht‎, ‎iran. l. najarpisheh faculty of mathematical sciences‎, ‎university‎ ‎of guilan‎, ‎p.o‎. ‎box 1914‎, ‎rasht‎, ‎iran.

‎let $x$‎, ‎$y$ and $z$ be banach spaces and $f:xtimes y‎ ‎longrightarrow z$ a bounded bilinear map‎. ‎in this paper we‎ ‎study the relation between arens regularity of $f$ and the‎ ‎reflexivity of $y$‎. ‎we also give some conditions under which the‎ ‎arens regularity of a banach algebra $a$ implies the arens‎ ‎regularity of certain banach right module action of $a$‎ .

Journal: :journal of linear and topological algebra (jlta) 0
a bodaghi department of mathematics, garmsar branch, islamic azad university, garmsar, iran. f anousheh department of mathematics, islamic azad university, central tehran branch, tehran, iran. s etemad department of mathematics, tabriz branch, islamic azad university, tabriz, iran.

this paper continues the investigation of the rst author begun in part one. the hereditary properties of n-homomorphism amenability for banach algebras are investigated and the relations between n-homomorphism amenability of a banach algebra and its ide- als are found. analogous to the character amenability, it is shown that the tensor product of two unital banach algebras is n-homomorphism am...

In a commutative Noetherian local complex normed algebra which is complete in its M-adic metric there are only finitely many closed prime ideals.

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید