Boundaries in inductive limit topological algebras.
Hadjigeorgiou, R.I. (1997)
Portugaliae Mathematica
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Hadjigeorgiou, R.I. (1997)
Portugaliae Mathematica
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T. Müldner (1975)
Colloquium Mathematicae
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Kosovskaya, N.Yu. (2005)
Zapiski Nauchnykh Seminarov POMI
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Warren Dicks (1988)
Publicacions Matemàtiques
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A direct proof of Braun's characterization of Azumaya algebras is given.
H. Garth Dales, Shital R. Patel, Charles J. Read (2010)
Banach Center Publications
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We consider Fréchet algebras which are subalgebras of the algebra 𝔉 = ℂ [[X]] of formal power series in one variable and of 𝔉ₙ = ℂ [[X₁,..., Xₙ]] of formal power series in n variables, where n ∈ ℕ. In each case, these algebras are taken with the topology of coordinatewise convergence. We begin with some basic definitions about Fréchet algebras, (F)-algebras, and other topological algebras, and recall some of their properties; we discuss Michael's problem from 1952 on the continuity...
Krzysztof Jarosz (2005)
Banach Center Publications
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Dina Štěrbová (1977)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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M.ª Isabel Garrido, Javier Gómez Gil, Jesús Angel Jaramillo (1992)
Extracta Mathematicae
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Suppose that A is an algebra of continuous real functions defined on a topological space X. We shall be concerned here with the problem as to whether every nonzero algebra homomorphism φ: A → R is given by evaluation at some point of X, in the sense that there exists some a in X such that φ(f) = f(a) for every f in A. The problem goes back to the work of Michael [19], motivated by the question of automatic continuity of homomorphisms in a symmetric *-algebra. More recently, the problem...
Ferdinand Beckhoff (1993)
Mathematica Slovaca
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Miguel Cabrera, José Martínez Aroza, Angel Rodríguez Palacios (1988)
Publicacions Matemàtiques
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We prove that, if A denotes a topologically simple real (non-associative) H*-algebra, then either A is a topologically simple complex H*-algebra regarded as real H*-algebra or there is a topologically simple complex H*-algebra B with *-involution τ such that A = {b ∈ B : τ(b) = b*}. Using this, we obtain our main result, namely: (algebraically) isomorphic topologically simple real H*-algebras are actually *-isometrically isomorphic.
Terry A. Loring (1993)
Mathematica Scandinavica
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Mehdi Nemati (2015)
Colloquium Mathematicae
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We investigate some homological notions of Banach algebras. In particular, for a locally compact group G we characterize the most important properties of G in terms of some homological properties of certain Banach algebras related to this group. Finally, we use these results to study generalized biflatness and biprojectivity of certain products of Segal algebras on G.
Antoine, Jean-Pierre, Trapani, Camillo, Tschinke, Francesco (2006)
International Journal of Mathematics and Mathematical Sciences
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