Non-uniqueness of topology for algebras of polynomials

M. Wojciechowski; W. Żelazko

Displaying similar documents to “Non-uniqueness of topology for algebras of polynomials”

Representations of topological algebras by projective limits.

Abel, Mati (2010)

Annals of Functional Analysis (AFA) [electronic only]

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Representation theorem for convex effect algebras

Stanley P. Gudder, Sylvia Pulmannová (1998)

Commentationes Mathematicae Universitatis Carolinae

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Effect algebras have important applications in the foundations of quantum mechanics and in fuzzy probability theory. An effect algebra that possesses a convex structure is called a convex effect algebra. Our main result shows that any convex effect algebra admits a representation as a generating initial interval of an ordered linear space. This result is analogous to a classical representation theorem for convex structures due to M.H. Stone.

On 1-parameter subgroups of the circle-exponent function in A-convex topological algebras.

Tsertos, Y. (2010)

Banach Journal of Mathematical Analysis [electronic only]

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p-Envelopes of non-locally convex F-spaces

C. M. Eoff (1992)

Annales Polonici Mathematici

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The p-envelope of an F-space is the p-convex analogue of the Fréchet envelope. We show that if an F-space is locally bounded (i.e., a quasi-Banach space) with separating dual, then the p-envelope coincides with the Banach envelope only if the space is already locally convex. By contrast, we give examples of F-spaces with are not locally bounded nor locally convex for which the p-envelope and the Fréchet envelope are the same.

Structure of locally idempotent algebras.

Abel, Mati (2007)

Banach Journal of Mathematical Analysis [electronic only]

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P-adic Spaces of Continuous Functions I

Athanasios Katsaras (2008)

Annales mathématiques Blaise Pascal

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Properties of the so called $θ_{o}$ -complete topological spaces are investigated. Also, necessary and sufficient conditions are given so that the space $C (X, E)$ of all continuous functions, from a zero-dimensional topological space $X$ to a non-Archimedean locally convex space $E$ , equipped with the topology of uniform convergence on the compact subsets of $X$ to be polarly barrelled or polarly quasi-barrelled.

Necessary and sufficient conditions for generalized convexity

Janusz Krzyszkowski (1995)

Annales Polonici Mathematici

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We give some necessary and sufficient conditions for an n-1 times differentiable function to be a generalized convex function with respect to an unrestricted n-parameter family.

Are EC-spaces AE(metrizable)?

Carlos Borges (1991)

Colloquium Mathematicae

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