An associative law for infinite topological A-tensor product A-algebras
Kyriazis, Athanasios (1989)
Portugaliae mathematica
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Displaying similar documents to “Infinite -tensor product algebras.”
An associative law for infinite topological A-tensor product A-algebras
Central morphisms and envelopes of holomorphy.
Kyriazis, Athanasios (1995)
Portugaliae Mathematica
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Representation theory of locally -convex topological algebras
Anastasios Mallios (1972)
Mémoires de la Société Mathématique de France
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Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded C*-seminorms
M. Fragoulopoulou, A. Inoue (2007)
Studia Mathematica
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The existence of unbounded *-representations of (locally convex) tensor product *-algebras is investigated, in terms of the existence of unbounded *-representations of the (locally convex) factors of the tensor product and vice versa.
Representation of locally convex algebras.
L. Oubbi (1994)
Revista Matemática de la Universidad Complutense de Madrid
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We deal with the representation of locally convex algebras. On one hand as subalgebras of some weighted space CV(X) and on the other hand, in the case of uniformly A-convex algebras, as inductive limits of Banach algebras. We also study some questions on the spectrum of a locally convex algebra.
On the Spectrum of a Topological Tensor Product of Locally Convex Algebras.
A. MALLIOS (1964)
Mathematische Annalen
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Locally convex algebras which determine a locally compact group
Gholam Hossein Esslamzadeh, Hossein Javanshiri, Rasoul Nasr-Isfahani (2016)
Studia Mathematica
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There are several algebras associated with a locally compact group 𝓖 which determine 𝓖 in the category of topological groups, such as L¹(𝓖), M(𝓖), and their second duals. In this article we add a fairly large family of locally convex algebras to this list. More precisely, we show that for two infinite locally compact groups 𝓖₁ and 𝓖₂, there are infinitely many locally convex topologies τ₁ and τ₂ on the measure algebras M(𝓖₁) and M(𝓖₂), respectively, such that (M(𝓖₁),τ₁)** is...
Semidirect products of locally convex algbras and the three-space-problem.
KHIN AYE AYE AND KARL-HEINZ SCHRODER SUSANNE DiEROLF (1999)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Some remarks on topological algebras
W. Żelazko (1963)
Studia Mathematica
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Discontinuity of the product in multiplier algebras.
Mohamed Oudadess (1990)
Publicacions Matemàtiques
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Entire functions operate in complete locally A-convex algebras but not continuously. Actually squaring is not always continuous. The counterexample we give is multiplier algebra.
The three-space-problem for locally-m-convex algebras.
Susanne Dierolf, Thomas Heintz (2003)
RACSAM
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We prove that a locally convex algebra A with jointly continuous multiplication is already locally-m-convex, if A contains a two-sided ideal I such that both I and the quotient algebra A/I are locally-m-convex. An application to the behaviour of the associated locally-m-convex topology on ideals is given.
Funtional Boundedness of Some M-Complete m-Convex Algebras
M. Oudadess (1997)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Structure theory of homologically trivial and annihilator locally C*-algebras
Alexei Yu. Pirkovskii, Yurii V. Selivanov (2010)
Banach Center Publications
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We study the structure of certain classes of homologically trivial locally C*-algebras. These include algebras with projective irreducible Hermitian A-modules, biprojective algebras, and superbiprojective algebras. We prove that, if A is a locally C*-algebra, then all irreducible Hermitian A-modules are projective if and only if A is a direct topological sum of elementary C*-algebras. This is also equivalent to A being an annihilator (dual, complemented, left quasi-complemented, or topologically...