On variation topology

R. G. Vyas

Displaying similar documents to “On variation topology”

Some results about Banach compact algebras

B.M. Ramadisha, V.A. Babalola (2004)

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Properties of functions of generalized bounded variation

R. G. Vyas (2006)

Matematički Vesnik

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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.

Mackey continuity of characteristic functionals.

Kwapień, S., Tarieladze, V. (2002)

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Representation of operators defined on the space of Bochner integrable functions.

Laurent Vanderputten (2001)

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Some remarks on the space of differences of sublinear functions

Sven Bartels, Diethard Pallaschke (1994)

Applicationes Mathematicae

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Two properties concerning the space of differences of sublinear functions D(X) for a real Banach space X are proved. First, we show that for a real separable Banach space (X,‖·‖) there exists a countable family of seminorms such that D(X) becomes a Fréchet space. For X = ℝ^n this construction yields a norm such that D(ℝ^n) becomes a Banach space. Furthermore, we show that for a real Banach space with a smooth dual every sublinear Lipschitzian function can be expressed by the Fenchel...