A simple proof of two theorems concerning bases of
G. Schechtman (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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A simple proof of two theorems concerning bases of
Aspects of unconditionality of bases in spaces of compact operators
James R. Holub (1998)
Annales Polonici Mathematici
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E. Tutaj has introduced classes of Schauder bases termed "unconditional-like" (UL) and "unconditional-like*" (UL*) whose intersection is the class of unconditional bases. In view of this association with unconditional bases, it is interesting to note that there exist Banach spaces which have no unconditional basis and yet have a basis of one of these two types (e.g., the space 𝓞[0,1]). In the same spirit, we show in this paper that the space of all compact operators on a reflexive Banach...
On a result of Olevskiĭ : a uniformly bounded orthonormal sequence is not a basis for
A. Pełczynski (1973-1974)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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A construction of basis in
Z. Ciesielski (1969)
Studia Mathematica
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On subspaces of locally convex spaces with unconditional Schauder bases
L. Drewnowski (1987)
Colloquium Mathematicae
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Uniformly thin bases of order two
Christoph Schmitt (2006)
Acta Arithmetica
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Uniqueness of some unconditional bases II
J. Lindenstrauss (1980-1981)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Small digitwise perturbations of a number make it normal to unrelated bases.
Pushkin, L. (2002)
Lobachevskii Journal of Mathematics
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Generalized bases in topological linear spaces
M. Arsove, R. Edwards (1960)
Studia Mathematica
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On bases and unconditional bases in the spaces ,1≤p<∞
K. Kazarian (1982)
Studia Mathematica
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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
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On the existence of almost greedy bases in Banach spaces
S. J. Dilworth, N. J. Kalton, Denka Kutzarova (2003)
Studia Mathematica
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We consider several greedy conditions for bases in Banach spaces that arise naturally in the study of the Thresholding Greedy Algorithm (TGA). In particular, we continue the study of almost greedy bases begun in [3]. We show that almost greedy bases are essentially optimal for n-term approximation when the TGA is modified to include a Chebyshev approximation. We prove that if a Banach space X has a basis and contains a complemented subspace with a symmetric basis and finite cotype then...
On the existence of distinguished bases in a -space
Kung-Wei Yang (1971)
Compositio Mathematica
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