Analytic structure on locally compact spaces determined by algebras of continuous functions
K. Rusek (1983)
Annales Polonici Mathematici
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K. Rusek (1983)
Annales Polonici Mathematici
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Takeshi Katsura, Paul S. Muhly, Aidan Sims, Mark Tomforde (2008)
Studia Mathematica
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Given an ultragraph in the sense of Tomforde, we construct a topological quiver in the sense of Muhly and Tomforde in such a way that the universal C*-algebras associated to the two objects coincide. We apply results of Muhly and Tomforde for topological quiver algebras and of Katsura for topological graph C*-algebras to study the K-theory and gauge-invariant ideal structure of ultragraph C*-algebras.
Krzysztof Jarosz (2005)
Banach Center Publications
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Mati Abel, Krzysztof Jarosz (2003)
Studia Mathematica
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We investigate stability of various classes of topological algebras and individual algebras under small deformations of multiplication.
Zygmunt Saloni (1974)
Colloquium Mathematicae
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Jean-Pierre Antoine, Camillo Trapani, Francesco Tschinke (2011)
Studia Mathematica
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We continue our study of topological partial *-algebras, focusing on the interplay between various partial multiplications. The special case of partial *-algebras of operators is examined first, in particular the link between strong and weak multiplications, on one hand, and invariant positive sesquilinear (ips) forms, on the other. Then the analysis is extended to abstract topological partial *-algebras, emphasizing the crucial role played by appropriate bounded elements, called ℳ-bounded....
Takuo Fukuda, Masako Fukuda (1979)
Inventiones mathematicae
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Wang, Derming, Watson, Saleem (1989)
International Journal of Mathematics and Mathematical Sciences
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Mau-Hisiang, Tan, Kok-Keong Shih (1984)
Mathematische Zeitschrift
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Mati Abel, Krzysztof Jarosz (2005)
Banach Center Publications
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We characterize unital topological algebras in which all maximal two-sided ideals are closed.
Jerzy Kąkol (1982)
Colloquium Mathematicae
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Aldo V. Figallo, Inés Pascual, Gustavo Pelaitay (2020)
Bulletin of the Section of Logic
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In 2015, tense n × m-valued Lukasiewicz–Moisil algebras (or tense LMn×m-algebras) were introduced by A. V. Figallo and G. Pelaitay as an generalization of tense n-valued Łukasiewicz–Moisil algebras. In this paper we continue the study of tense LMn×m-algebras. More precisely, we determine a Priestley-style duality for these algebras. This duality enables us not only to describe the tense LMn×m-congruences on a tense LMn×m-algebra, but also to characterize the simple and subdirectly irreducible...
J.-P. Antoine, G. Bellomonte, C. Trapani (2012)
Studia Mathematica
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We continue our study of topological partial *-algebras, focusing our attention on *-semisimple partial *-algebras, that is, those that possess a multiplication core and sufficiently many *-representations. We discuss the respective roles of invariant positive sesquilinear (ips) forms and representable continuous linear functionals, and focus on the case where the two notions are completely interchangeable (fully representable partial *-algebras) with the aim of characterizing a *-semisimple...
Antonio Fernández, M. Florencio, Pedro J. Paúl, Vladimir Müller (1989)
Collectanea Mathematica
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Anders Olofsson (2001)
Studia Mathematica
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We study asymptotics of a class of extremal problems rₙ(A,ε) related to norm controlled inversion in Banach algebras. In a general setting we prove estimates that can be considered as quantitative refinements of a theorem of Jan-Erik Björk [1]. In the last section we specialize further and consider a class of analytic Beurling algebras. In particular, a question raised by Jan-Erik Björk in [1] is answered in the negative.
Hadjigeorgiou, R.I. (1997)
Portugaliae Mathematica
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Edward Beckenstein, Lawrence Narici, Charles Suffel (1974)
Colloquium Mathematicae
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Jens Peter Reus Christensen (1979)
Colloquium Mathematicae
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Ouzomgi, S., Redlin, L., Watson, S. (1995)
International Journal of Mathematics and Mathematical Sciences
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Eberhard Kirchberg, Ghislain Vaillant (1992)
Inventiones mathematicae
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