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Yoshihiro Sawano (2010)
Studia Mathematica
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The aim of the present paper is to obtain an inequality of Brézis-Gallouët-Wainger type for Besov-Morrey spaces. We investigate these spaces in a self-contained manner. Also, we verify that our result is sharp.
Elmar Schrohe, Hans-Gern Leopold (1993)
Manuscripta mathematica
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Matej Brešar, Yuri V. Turovskii (2007)
Studia Mathematica
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Various topics concerning compact elementary operators on Banach algebras are studied: their ranges, their coefficients, and the structure of algebras having nontrivial compact elementary operators. In the first part of the paper we consider separately elementary operators of certain simple types. In the second part we obtain our main results which deal with general elementary operators.
H.-G. Leopold (1989)
Banach Center Publications
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Ján Haluška (1991)
Mathematica Slovaca
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P. Bolley, J. Camus (1978)
Publications mathématiques et informatique de Rennes
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Gérard Bourdaud, Madani Moussai, Winfried Sickel (2006)
Annales de l'I.H.P. Analyse non linéaire
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Antoine Delcroix, Maximilian F. Hasler, Stevan Pilipović, Vincent Valmorin
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We give a description of various algebras of generalized functions based on the introduction of pseudo-ultranorms on spaces of sequences in given locally convex function algebras. We study sheaf properties of these algebras, needed for microlocal analysis, and also consider regularity theory, functoriality and different concepts of association and weak equality in a unified setting. Using this approach, we also give new results on embeddings of ultradistribution and hyperfunction spaces...
K. B. Laursen
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CONTENTSIntroduction................................................. 51. Basic concepts and terminology................ 92. Generalized intertwining maps................... 123. Commutative regular algebras................... 184. C*-algebras.................................................... 255. Algebras of differentiable functions............ 31Bibliography........................................................ 51
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....
Wacław Szymański (1980)
Annales Polonici Mathematici
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Noriaki Kamiya, Daniel Mondoc, Susumu Okubo (2011)
Banach Center Publications
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In this paper we give a review on δ-structurable algebras. A connection between Malcev algebras and a generalization of δ-structurable algebras is also given.
Fereidoun Ghahramani, Anthony To-Ming Lau (2005)
Studia Mathematica
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We continue our study of derivations, multipliers, weak amenability and Arens regularity of Segal algebras on locally compact groups. We also answer two questions on Arens regularity of the Lebesgue-Fourier algebra left open in our earlier work.
Andrzej Skowroński, Kunio Yamagata (2015)
Colloquium Mathematicae
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We provide a characterization of all finite-dimensional selfinjective algebras over a field K which are socle equivalent to a prominent class of selfinjective algebras of tilted type.
Rost, Markus (1996)
Documenta Mathematica
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David P. Blecher, Charles John Read (2014)
Studia Mathematica
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In earlier papers we have introduced and studied a new notion of positivity in operator algebras, with an eye to extending certain C*-algebraic results and theories to more general algebras. Here we continue to develop this positivity and its associated ordering, proving many foundational facts. We also give many applications, for example to noncommutative topology, noncommutative peak sets, lifting problems, peak interpolation, approximate identities, and to order relations between...
Saworotnow, Parfeny P. (1981)
International Journal of Mathematics and Mathematical Sciences
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Tvalavadze, Marina (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 17D15. Secondary 17D05, 17B35, 17A99. This is a survey paper to summarize the latest results on the universal enveloping algebras of Malcev algebras, triple systems and Leibniz n-ary algebras.
Zujin Zhang, Xian Yang (2016)
Annales Polonici Mathematici
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We study the Cauchy problem for the MHD system, and provide two regularity conditions involving horizontal components (or their gradients) in Besov spaces. This improves previous results.
Milutin Dostanić (1993)
Publications de l'Institut Mathématique
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Zygmunt Pogorzały, Mirosława Sufranek (2004)
Colloquium Mathematicae
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The class of n-fundamental algebras is introduced. It is a subclass of string algebras. For n-fundamental algebras we study the problem of when the Auslander-Reiten quiver contains, at the beginning or at the end, a component which is not generalized standard.
Camillo Trapani (2005)
Banach Center Publications
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The main facts about unbounded C*-seminorms on partial *-algebras are reviewed and the link with the representation theory is discussed. In particular, starting from the more familiar case of *-algebras, we examine C*-seminorms that are defined from suitable families of positive linear or sesquilinear forms, mimicking the construction of the Gelfand seminorm for Banach *-algebras. The admissibility of these forms in terms of the (unbounded) C*-seminorms they generate is characterized. ...