A simple proof of two theorems concerning bases of
G. Schechtman (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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G. Schechtman (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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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...
A. Pełczynski (1973-1974)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Z. Ciesielski (1969)
Studia Mathematica
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CSTUG editorial board (2009)
Zpravodaj Československého sdružení uživatelů TeXu
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CSTUG editorial board (2009)
Zpravodaj Československého sdružení uživatelů TeXu
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L. Drewnowski (1987)
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Christoph Schmitt (2006)
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J. Lindenstrauss (1980-1981)
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Pushkin, L. (2002)
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M. Arsove, R. Edwards (1960)
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K. Kazarian (1982)
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T. Bartoszyński, M. Džamonja, L. Halbeisen, E. Murtinová, A. Plichko (2009)
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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...