Embedding theorems for a class of functions.
Laković, B. (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Laković, B. (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Janusz Czelakowski (1979)
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L. I. Sennott (1979)
Colloquium Mathematicae
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Ronald Brown, Sidney A. Morris (1978)
Colloquium Mathematicae
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Marica D. Prešić (1980)
Publications de l'Institut Mathématique
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Grzegorz Plebanek (2013)
Studia Mathematica
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We investigate isomorphic embeddings T: C(K) → C(L) between Banach spaces of continuous functions. We show that if such an embedding T is a positive operator then K is the image of L under an upper semicontinuous set-function having finite values. Moreover we show that K has a π-base of sets whose closures are continuous images of compact subspaces of L. Our results imply in particular that if C(K) can be positively embedded into C(L) then some topological properties of L, such...
Milan Grulović (1995)
Matematički Vesnik
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A. Pełczyński, K. Senator (1986)
Studia Mathematica
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Alicja Gąsiorowska (2011)
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We prove asymptotic formulas for the behavior of Gelfand and Kolmogorov numbers of Sobolev embeddings between Besov and Triebel-Lizorkin spaces of radial distributions. Our method works also for Weyl numbers.
M. Škoviera, J. Širáň (1987)
Applicationes Mathematicae
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De Bruyn, Bart (2007)
The Electronic Journal of Combinatorics [electronic only]
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Jiří Rákosník (1989)
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Hans Triebel (2014)
Banach Center Publications
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The paper deals with dimension-controllable (tractable) embeddings of Besov spaces on n-dimensional cubes into Zygmund spaces.
William Powell (1974)
Fundamenta Mathematicae
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Boju Jiang, Shicheng Wang, Hao Zheng, Qing Zhou (2011)
Fundamenta Mathematicae
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Solenoids are inverse limits of the circle, and the classical knot theory is the theory of tame embeddings of the circle into 3-space. We make a general study, including certain classification results, of tame embeddings of solenoids into 3-space, seen as the "inverse limits" of tame embeddings of the circle. Some applications in topology and in dynamics are discussed. In particular, there are tamely embedded solenoids Σ ⊂ ℝ³ which are strictly achiral. Since solenoids...