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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2020, Volume 483, Issue 2, p. 123629
We present a constructive technique to represent classes of bilinear operators that allow a factorization through a bilinear product, providing a general... 
Summability | Bilinear operators | Pietsch integral | Orthogonally additive polynomials | Factorization | [formula omitted]-spaces | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | Surnmability | C(K)-spaces | MAPPINGS
Journal Article
Set-Valued and Variational Analysis, ISSN 1877-0533, 3/2019, Volume 27, Issue 1, pp. 119 - 128
We are concerned in this note with the extension of Cantor’s intersection theorem to C(K) spaces. First we prove that the general version for arbitrary closed... 
46E15 | Analysis | Intersection property | Hausdorff convergence | Primary 52A05 | Secondary 46J10 | Mathematics | C ( K ) space | Order interval | Extremely disconnected compact | Optimization
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 03/2018, Volume 274, Issue 5, pp. 1491 - 1529
We investigate the following problem posed by Cabello Sanchéz, Castillo, Kalton, and Yost: Let be a nonmetrizable compact space. Does there exist a nontrivial... 
Twisted sum | Extension operator | [formula omitted] space | C(K) space
Journal Article
JOURNAL OF FUNCTIONAL ANALYSIS, ISSN 0022-1236, 03/2018, Volume 274, Issue 5, pp. 1491 - 1529
We investigate the following problem posed by Cabello Sanchez, Castillo, Kalton, and Yost: Let K be a nonmetrizable compact space. Does there exist a... 
TOPOLOGY | MATHEMATICS | Twisted sum | Extension operator | ORDERED SPACES | BANACH-SPACES | C(K) space
Journal Article
SET-VALUED AND VARIATIONAL ANALYSIS, ISSN 1877-0533, 03/2019, Volume 27, Issue 1, pp. 119 - 128
We are concerned in this note with the extension of Cantor's intersection theorem to C(K) spaces. First we prove that the general version for arbitrary closed... 
MATHEMATICS, APPLIED | BANACH-SPACES | Intersection property | Hausdorff convergence | NESTED SEQUENCES | CONVEX-SETS | Order interval | C(K) space | Extremely disconnected compact
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2011, Volume 384, Issue 2, pp. 357 - 365
Journal Article
Studia Mathematica, ISSN 0039-3223, 2016, Volume 232, Issue 2, pp. 173 - 187
Let C (K) denote the Banach algebra of continuous real functions, with the supremum norm, on a compact Hausdorff space K. For two subsets of C (K), one can... 
C(K) space | Order interval | Product of sets | MATHEMATICS | C (K) space | order interval | BALLS | product of sets | PRODUCTS
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2016, Volume 144, Issue 6, pp. 2611 - 2617
Journal Article
Monatshefte fur Mathematik, ISSN 0026-9255, 05/2018, Volume 186, Issue 1, pp. 37 - 47
To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/s00605-016-1014-x Let K and... 
(K, X) spaces | Generalizations of Banach–Stone theorem | Into isomorphisms of C | Versions of Holsztyński’s theorem
Journal Article
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, ISSN 0002-9939, 06/2016, Volume 144, Issue 6, pp. 2611 - 2617
We prove that the projective tensor product of two C(K) spaces, where K is an infinite countable metric compact space, is c(0)-saturated and is therefore a... 
MATHEMATICS | MATHEMATICS, APPLIED | Space of compact operators | spaces of nuclear operators | the space C(omega(omega)) | isomorphic classification | SUBSPACES
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2016, Volume 144, Issue 6, pp. 2611 - 2617
We prove that the projective tensor product of two C(K) is an infinite countable metric compact space, is c_{0} spaces by T. Oikhberg and E. Spinu. 
Functional Analysis | Mathematics
Journal Article
Studia Mathematica, ISSN 0039-3223, 2014, Volume 225, Issue 1, pp. 1 - 7
A simple observation about embeddings of smooth Banach spaces into C(K) spaces allows us to construct a parametrization of the separable Banach spaces using... 
spaces | Szlenk index | Isometric embedding | C(K) spaces | MATHEMATICS | isometric embedding | l(p) spaces
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 02/2015, Volume 103, Issue 2, pp. 352 - 373
We deal with some problems related to vector addition and diametric completion procedures of convex bodies in spaces. We prove that each of the following... 
Maehara set | [formula omitted] space | Generating set | Convex body | Diametric completion | Intersection of balls | C(K) space | MATHEMATICS, APPLIED | CONSTANT WIDTH | GENERATING SETS | MATHEMATICS | CONTINUITY | BANACH-SPACES | COMPLETION
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2018, Volume 457, Issue 1, pp. 104 - 113
The classic Rosenthal–Lacey theorem asserts that the Banach space of continuous real-valued maps on an infinite compact space has a quotient isomorphic to or .... 
Pointwise topology | Spaces of continuous functions | Spaces [formula omitted] | Separable quotient problem | X | Spaces C
Journal Article
by Li, SX and Wulan, H
TAIWANESE JOURNAL OF MATHEMATICS, ISSN 1027-5487, 02/2010, Volume 14, Issue 1, pp. 195 - 211
The boundness of Volterra type operators on Q(K) space is investigated in this paper. A new generalized Carleson measure and Logarithmic Q(K) spaces has been... 
MATHEMATICS | Q(K) space | Volterra type operator | Carleson measure | C-N | CARLESON MEASURES | RIEMANN-STIELTJES OPERATORS | INTEGRAL OPERATOR | EXTENDED CESARO OPERATORS | BERGMAN SPACES | UNIT BALL | BLOCH
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 336, Issue 2, pp. 788 - 796
For a compact Hausdorff topological space , we show that the function space must satisfy the following dichotomy: (i) either it admits a positive definite... 
Continuous polynomials | Zero-set | [formula omitted] spaces | C (K) spaces | MATHEMATICS | MATHEMATICS, APPLIED | zero-set | L-INFINITY | BANACH-SPACES | C(K) spaces | continuous polynomials
Journal Article
Studia Mathematica, ISSN 0039-3223, 2013, Volume 217, Issue 2, pp. 123 - 138
Let us denote by C(alpha) the classical Banach space C(K) when K is the interval of ordinals [1, alpha] endowed with the order topology. In the present paper,... 
MATHEMATICS | Banach-Mazur distance | C(omega) and C(K) spaces
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2018, Volume 459, Issue 2, pp. 1201 - 1207
In this paper we study the distortion of a linear embedding where is a Hausdorff compactum and is an infinite discrete space. We prove that if has no subspace... 
Linear embeddings | [formula omitted] spaces | Banach–Mazur distances | C(K) spaces | (K,X) spaces
Journal Article
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