نتایج جستجو برای: banach modules

تعداد نتایج: 73732  

Journal: :Journal of Mathematical Analysis and Applications 2002

Journal: :Banach Journal of Mathematical Analysis 2009

Journal: :Journal of the Korean Mathematical Society 2008

2009
FRANZ LUEF F. Luef

In the present investigation we link noncommutative geometry over noncommutative tori with Gabor analysis, where the first has its roots in operator algebras and the second in time-frequency analysis. We are therefore in the position to invoke modern methods of operator algebras, e.g. topological stable rank of Banach algebras, to exploit the deeper properties of Gabor frames. Furthermore, we a...

Journal: :Journal of Mathematical Analysis and Applications 2002

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 ...

2004
DAVID P. BLECHER BOJAN MAGAJNA

We investigate some subtle and interesting phenomena in the du-ality theory of operator spaces and operator algebras. In particular, we give several applications of operator space theory, based on the surprising fact that certain maps are always w *-continuous on dual operator spaces. For example, this yields a new characterization of the σ-weakly closed (possibly nonunital and nonselfadjoint) ...

Journal: :Bulletin Des Sciences Mathematiques 2022

We study the interaction between various analytification functors, and a class of morphisms rings, called homotopy epimorphisms. An functor assigns to simplicial commutative algebra over ring $R$, along with choice Banach structure on monoid in monoidal model category ind-Banach $R$-modules. show that several analytifications relevant analytic geometry - such as Tate, overconvergent, Stein anal...

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