Small digitwise perturbations of a number make it normal to unrelated bases.
Pushkin, L. (2002)
Lobachevskii Journal of Mathematics
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Pushkin, L. (2002)
Lobachevskii Journal of Mathematics
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W. Grabowski, W. Szwarc (1966)
Applicationes Mathematicae
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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...
Christoph Schmitt (2006)
Acta Arithmetica
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Y.-F. S. Pétermann (2010)
Acta Arithmetica
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Azanchiler, Habib (2007)
Lobachevskii Journal of Mathematics
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Ondrej F. K. Kalenda (2002)
Colloquium Mathematicae
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We prove, among other things, that the space C[0,ω₂] has no countably norming Markushevich basis. This answers a question asked by G. Alexandrov and A. Plichko.
Z. Romanowicz (1987)
Applicationes Mathematicae
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Haghighi, Mahmood (1988)
International Journal of Mathematics and Mathematical Sciences
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L. Drewnowski (1987)
Colloquium Mathematicae
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J. Dudek (1979)
Colloquium Mathematicae
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G. Schechtman (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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T. Bartoszyński, M. Džamonja, L. Halbeisen, E. Murtinová, A. Plichko (2009)
Studia Mathematica
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Robinson, John P. (2009)
Journal of Integer Sequences [electronic only]
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Zbigniew Ciesielski (2001)
Applicationes Mathematicae
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As is known, color images are represented as multiple, channels, i.e. integer-valued functions on a discrete rectangle, corresponding to pixels on the screen. Thus, image compression, can be reduced to investigating suitable properties of such, functions. Each channel is compressed independently. We are, representing each such function by means of multi-dimensional, Haar and diamond bases so that the functions can be remembered, by their basis coefficients without loss of information....