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Rademacher variables in connection with complex scalars.

Seigner, J.A. (1997)

Acta Mathematica Universitatis Comenianae. New Series

R-base dans les espaces $ℒ_{p}$ séparables (2≤p<∞)

C. Samuel (1988)

Colloquium Mathematicae

Reflexivität und Schauder Basen vom Typ P und P in lokalkonvexen Räumen.

Ulrich Mertins (1971)

Manuscripta mathematica

Regular methods of summability in some locally convex spaces

Costas Poulios (2009)

Commentationes Mathematicae Universitatis Carolinae

Suppose that $X$ is a Fréchet space, $〈 a_{i j} 〉$ is a regular method of summability and $(x_{i})$ is a bounded sequence in $X$ . We prove that there exists a subsequence $(y_{i})$ of $(x_{i})$ such that: either (a) all the subsequences of $(y_{i})$ are summable to a common limit with respect to $〈 a_{i j} 〉$ ; or (b) no subsequence of $(y_{i})$ is summable with respect to $〈 a_{i j} 〉$ . This result generalizes the Erdös-Magidor theorem which refers to summability of bounded sequences in Banach spaces. We also show that two analogous results for some $ω_{1}$ -locally convex spaces...

Remark on our paper "On bases in Banach spaces" (Studia Math. 170 (2005), 147-171)

T. Bartoszyński, M. Džamonja, L. Halbeisen, E. Murtinová, A. Plichko (2009)

Studia Mathematica

Remark on spline unconditional bases in $H^{1} (D)$

Leszek Skrzypczak (1989)

Banach Center Publications

Resoluciones proyectivas del operador identidad y bases de Markushevich en ciertos espacios de Banach.

M. Valdivia (1990)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Resolutions of the identity in certain Banach spaces.

Manuel Valdivia (1988)

Collectanea Mathematica

Riesz bases and positive operators on Hilbert space.

Holub, James R. (2003)

International Journal of Mathematics and Mathematical Sciences

RNP and KMP are equivalent for some Banach spaces with shrinking basis

Ginés López, Juan Mena (1996)

Studia Mathematica

We get a characterization of PCP in Banach spaces with shrinking basis. Also, we prove that the Radon-Nikodym and Krein-Milman properties are equivalent for closed, convex and bounded subsets of some Banach spaces with shrinking basis.

RUC systems in rearrangement invariant spaces

P. G. Dodds, E. M. Semenov, F. A. Sukochev (2002)

Studia Mathematica

We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.

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