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We introduce and study a natural class of variable exponent $ℓ^{p}$ spaces, which generalizes the classical spaces $ℓ^{p}$ and c₀. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. Some geometric examples are constructed by using these spaces.

A new class of sequence spaces with applications in summability theory.

G. Bennett (1974)

Journal für die reine und angewandte Mathematik

A new definition of nuclear systems with applications to bases in nuclear spaces

Ed Dubinsky (1972)

Studia Mathematica

A new Expression of the Maximal Value of Banach Limits

G. Vassiliadis (2005)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

A Note on Vanishing of the Factor Ext for Köthe Spaces.

Mefharet Kocatepe (1991)

Manuscripta mathematica

A note on $λ$ -multiplier convergent series

Miguel Florencio, Pedro José Paúl (1988)

Časopis pro pěstování matematiky

A short proof of the theorem of Crone and Robinson on quasi-equivalence of regular bases

Plamen Djakov (1975)

Studia Mathematica

A Twisted Fréchet Space with Basis.

V.B. Moscatelli, G. Metafune (1988)

Monatshefte für Mathematik

Absolute bases, tensor products and a theorem of Bohr

Séan Dineen, Richard Timoney (1989)

Studia Mathematica

Addendum and corrigendum to the paper "Several notions of absolute bases".

P.K. Kamthan, Manjul Gupta (1980)

Journal für die reine und angewandte Mathematik

Addendum to: "Sequences of 0's and 1's" (Studia Math. 149 (2002), 75-99)

Johann Boos, Toivo Leiger (2005)

Studia Mathematica

There is a nontrivial gap in the proof of Theorem 5.2 of [2] which is one of the main results of that paper and has been applied three times (cf. [2, Theorem 5.3, (G) in Section 6, Theorem 6.4]). Till now neither the gap has been closed nor a counterexample found. The aim of this paper is to give, by means of some general results, a better understanding of the gap. The proofs that the applications hold will be given elsewhere.

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0 Maps between FK Spaces and Summability.

A Banach space with a symmetric basis which contains no $ℓ_{p}$ or $c_{0}$ , and all its symmetric basic sequences are equivalent

A Characterization of M-Bases.

A Characterization of Totally Reflexive Fréchet Spaces.

A characterization of ω by block extensions

A generalization of Dragilev's theorem.

A Natural Class of Sequential Banach Spaces

A new class of sequence spaces with applications in summability theory.

A new definition of nuclear systems with applications to bases in nuclear spaces

A new Expression of the Maximal Value of Banach Limits

A Note on Vanishing of the Factor Ext for Köthe Spaces.

A note on $λ$ -multiplier convergent series

A short proof of the theorem of Crone and Robinson on quasi-equivalence of regular bases

A Twisted Fréchet Space with Basis.

Absolute bases, tensor products and a theorem of Bohr

Addendum and corrigendum to the paper "Several notions of absolute bases".

Addendum to: "Sequences of 0's and 1's" (Studia Math. 149 (2002), 75-99)

An Example of a Nuclear Fréchet Space Without the Bounded Approximation Property.

An internal characterization of G-spaces

Approximation von Elementen eines lokalkonvexen Raumes

Currently displaying 1 – 20 of 170