Calcul fonctionnel holomorphe dans les algèbres de Banach ultramétriques
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Central decompositions for compact convex sets
A. J. Ellis (1975)
Compositio Mathematica
Characterizations of amenable representations of compact groups
Michael Yin-Hei Cheng (2012)
Studia Mathematica
Let G be a locally compact group and let π be a unitary representation. We study amenability and H-amenability of π in terms of the weak closure of (π ⊗ π)(G) and factorization properties of associated coefficient subspaces (or subalgebras) in B(G). By applying these results, we obtain some new characterizations of amenable groups.
Cohomology theory on non commutative algebras of continuous functions
G. A. Stavrakas (1989)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Compact failure of multiplicativity for linear maps between Banach algebras.
Heath, Matthew J. (2009)
Banach Journal of Mathematical Analysis [electronic only]
Complemented subalgebras of the Baire-1 functions defined on the interval .
Shatery, H.R. (2005)
International Journal of Mathematics and Mathematical Sciences
Comportement local des fonctions continues sur un compact régulier d'un corps local
Eve Helsmoortel (1971)
Séminaire de théorie des nombres de Bordeaux
Concerning the Banach-Stone theorem
Stanislav Tomášek (1969)
Commentationes Mathematicae Universitatis Carolinae
Continuité des caractères des algèbres localement multiplicativement convexes
William Habre (1985)
Publications du Département de mathématiques (Lyon)
Continuity of derivations from radical convolution algebras
W. Bade, H. Dales (1989)
Studia Mathematica
Continuity versus boundedness of the spectral factorization mapping
Holger Boche, Volker Pohl (2008)
Studia Mathematica
This paper characterizes the Banach algebras of continuous functions on which the spectral factorization mapping 𝔖 is continuous or bounded. It is shown that 𝔖 is continuous if and only if the Riesz projection is bounded on the algebra, and that 𝔖 is bounded only if the algebra is isomorphic to the algebra of continuous functions. Consequently, 𝔖 can never be both continuous and bounded, on any algebra under consideration.
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