A -algebra without generalized topological divisors of zero
A bilinear version of Holsztyński's theorem on isometries of C(X)-spaces
We prove that, for a compact metric space X not reduced to a point, the existence of a bilinear mapping ⋄: C(X) × C(X) → C(X) satisfying ||f⋄g|| = ||f|| ||g|| for all f,g ∈ C(X) is equivalent to the uncountability of X. This is derived from a bilinear version of Holsztyński's theorem [3] on isometries of C(X)-spaces, which is also proved in the paper.
A -algebra on Schur algebras.
A characteristic property of the algebra .
A characterization of characters in complex m-pseudoconvex algebras
In this paper we extend the characterization of characters given in [1], [2] and [8] onto m-pseudoconvex algebras. As a consequence (and a generalization) we give a characterization of continuous homomorphisms from m-pseudoconvex algebras into commutative semisimple m-pseudoconvex algebras.
A characterization of commutativity for non-associative normed algebras.
A characterization of F-algebras with all one-sided ideals closed
We prove that a real or complex F-algebra has all left and right ideals closed if and only if it is noetherian.
A characterization of homomorphisms in certain Banach involution algebras
A characterization of maximal regular ideals in lmc algebras
A question of Warner and Whitley concerning a nonunital version of the Gleason-Kahane-Żelazko theorem is considered in the context of nonnormed topological algebras. Among other things it is shown that a closed hyperplane M of a commutative symmetric F*-algebra E with Lindelöf Gel'fand space is a maximal regular ideal iff each element of M belongs to some closed maximal regular ideal of E.
A characterization of multiplicative linear functionals in Banach algebras
A characterization of Q-algebras of type F
We prove that a real or complex unital F-algebra is a Q-algebra if and only if all its maximal one-sided ideals are closed.
A characterization of singular endomorphisms of a barrelled Ptak space.
A Characterization of the State Space of Quantum Mechanics
A commutativity theorem for Banach algebras
A completely bounded characterization of operator algebras.
A continuous semicharacter
A Contribution to Segal Algebras.
A criterion for subharmonicity of a function of the spectrum
A Duality Between Hilbert Modules And Fields Of Hilbert Spaces.
A generalization of Gelfand-Mazur theorem.