The analytic-functional calculus in commutative topological algebras [PDF]
Pacific Journal of Mathematics, 1961 Richard Arens
exaly +6 more sources
A functional calculus for Banach PI-algebras
Pacific Journal of Mathematics, 1986 Denis Luminet
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Commutative Generalized B*-Algebras: Functional Calculus and Equivalent Topologies
, 2022 In this chapter we introduce a functional calculus for commutative GB*-algebras (Allan), analogue to that of C*-algebras. It will be often used in various results, but also similar line of thoughts can be applied in further generalizations of C*-algebras, like e.g., the so-called locally convex quasi C*-normed algebras. It is also used for exhibiting a
Fragoulopoulou, M. +3 more
openaire +2 more sources
The Stable Rank of Topological Algebras and a Problem of R. G. Swan [PDF]
, 1998 Various notions of stable ranks are studied for topological algebras. Some partial answers to R. G. Swan's problem (Have two Banach or good Frechet algebras as in the density theorem in K -theory the same stable rank?) are obtained.
C. Badea
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Topological convolution algebras [PDF]
, 2012 In this paper we introduce a dual of reflexive Frechet counterpart of Banach algebras of the form ⋃ p ∈ N Φ p ′ (where the Φ p ′ are (dual of) Banach spaces with associated norms ‖ ⋅ ‖ p ), which carry inequalities of the form ‖ a b ‖ p ⩽ A p , q ‖ a ‖ q
D. Alpay, Guy Salomon
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On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets [PDF]
, 2005 Summarizing basic facts from abstract topological modules over Colombeau generalized complex numbers we discuss duality of Colombeau algebras. In particular, we focus on generalized delta functional and operator kernels as elements of dual spaces.
Claudia Garetto, G. Hoermann
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Operator Algebras on Non-Separable Banach Spaces and Applications in Mathematical Physics
Thermodynamics Research: Open AccessThis paper develops a structural and functional framework for operator algebras acting on nonseparable Banach spaces (NSBS). While classical operator algebras—such as 𝐶∗ - and 𝑊∗ -algebras—are traditionally constructed on separable Hilbert spaces, many ...
Juan Alberto Molina García
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On Some Topological Properties of Ch(X) and of the Dual Operator
Asian Research Journal of MathematicsThe hypo-topology on the algebra C(X) of real-valued continuous functions defined on a Tychonoff space 2X f ∈ C(X) with its hypograph, hypof = {(x,t) ∈ X x R:f(x) ≥ t}.
Zéphirin N'teba Makala +9 more
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Second order quantum difference operator of lacunary weak convergence of sequences
FilomatIn this article, we introduce the concept of the second-order quantum difference operator and examine its role within the framework of lacunary weak convergence of sequences.
Bibhajyoti Tamuli, B. Tripathy
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Systems of Precision: Coherent Probabilities on Pre-Dynkin Systems and Coherent Previsions on Linear Subspaces. [PDF]
Entropy (Basel), 2023 Derr R, Williamson RC.
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