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STUDIA MATHEMATICA, ISSN 0039-3223, 2020, Volume 250, Issue 1, pp. 19 - 34
A normed space X is said to have the ball-covering property (BCP, for short) if its unit sphere can be covered by the union of countably many closed balls not... 
MATHEMATICS | L-p spaces | ball-covering property | BANACH-SPACES | Orlicz spaces
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2016, Volume 434, Issue 1, pp. 182 - 190
In this paper, author proves that if X1 and X2 are Gâteaux differentiable space, then X1 and X2 have the ball-covering property if and only if (X1×X2,‖⋅‖p) and... 
Gâteaux differentiable space | Ball-covering property | Convex function | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | WEAK ASPLUND SPACES | Gateaux differentiable space | CONVEX-FUNCTIONS | FRECHET DIFFERENTIABILITY | Bisphenol-A
Journal Article
Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 12, pp. 3905 - 3908
In this paper, we prove that Banach spaces X and Y have the ball- covering property (BCP) if and only if (X x Y, parallel to center dot parallel to p) have the... 
Product space | Ball-covering property | Equivalent norms | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 371, Issue 1, pp. 249 - 253
By a ball-covering B of a Banach space X, we mean that B is a collection of open (or closed) balls off the origin whose union contains the unit sphere S X of... 
Banach space | [formula omitted]-Separability | Ball-covering | Separability | MATHEMATICS | MATHEMATICS, APPLIED | w-Separability
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2019, Volume 479, Issue 1, pp. 608 - 620
A Banach space X has the so-called ball-covering property whenever its unit sphere can be covered by a countable collection of open balls that miss the origin.... 
Renorming | Separability | Norming subspaces | Ball-covering | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2011, Volume 377, Issue 2, pp. 874 - 880
By a ball-covering B of a Banach space X, we mean that B is a collection of open (or closed) balls off the origin whose union contains the unit sphere of X;... 
Ball-topology | Banach space | Smoothness | Ball-covering | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Journal of Convex Analysis, ISSN 0944-6532, 2018, Volume 25, Issue 3, pp. 1045 - 1058
We prove that if every bounded subset of X* is w*-separable, X is compactly locally uniformly convex, X is 2-strictly convex and X is nonsquare, then there... 
Compactly locally uniformly convex | 2-strictly convex space | Dentable point | Ball-covering property | Nonsquare space | non-square space | MATHEMATICS | ball-covering property | dentable point
Journal Article
Banach Journal of Mathematical Analysis, ISSN 1735-8787, 2015, Volume 9, Issue 1, pp. 42 - 53
In this paper, we prove that if X is a separable space and X* is a locally 2-uniform convex space, then for any 0 < epsilon < 1, there exist sequences... 
2-strictly convex space | Locally 2-uniform convex space | Ball-covering property | Strongly extreme point | locally 2-uniform convex space | MATHEMATICS | MATHEMATICS, APPLIED | ball-covering property | NORM | strongly extreme point
Journal Article
Studia Mathematica, ISSN 0039-3223, 2009, Volume 192, Issue 1, pp. 15 - 27
By a ball-covering B of a Banach space X, we mean a collection of open balls off the origin in X and whose union contains the unit sphere of X; a... 
Differentiability | Banach space | Refiexivity | Smoothness | Ball-covering | COMPACT CONVEX-SETS | MATHEMATICS | smoothness | differentiability | ball-covering | PROPERTY | PACKING | reflexivity
Journal Article
Science in China, Series A: Mathematics, ISSN 1006-9283, 09/2009, Volume 52, Issue 9, pp. 1869 - 1874
A normed space is said to have ball-covering property if its unit sphere can be contained in the union of countably many open balls off the origin. This paper... 
Renorming | Banach space | Ball-covering property | COMPACT CONVEX-SETS | MATHEMATICS | renorming | ball-covering property | PACKING | MAZUR INTERSECTION PROPERTY
Journal Article
数学学报:英文版, ISSN 1439-8516, 2010, Volume 26, Issue 9, pp. 1667 - 1672
This paper presents two counterexamples about ball-coverings of Banach spaces and shows a new characterization of uniformly non-square Banach spaces via... 
覆盖 | Banach空间 | 正方形 | 反例 | 赋范空间 | Uniformly non-square | 46B03 | ball-covering | 46B20 | Mathematics, general | Mathematics | Banach space | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | PROPERTY | SPHERES | Studies | Spheres | Banach spaces | Mathematical analysis
Journal Article
数学学报:英文版, ISSN 1439-8516, 2012, Volume 28, Issue 7, pp. 1369 - 1374
By a ball-covering B of a Banach space X, we mean that B is a collection of open (or closed) balls off the origin whose union contains the unit sphere of X;... 
代表性分析 | Banach空间 | 有限维 | 单位球 | 子空间 | 刻划 | 覆盖性质 | 通用 | finite representability | Banach space | convexity | universal space | Ball-covering | MATHEMATICS | MATHEMATICS, APPLIED | PROPERTY | SPHERES | Universities and colleges | Studies | Theorems | Mathematical models | Mathematics | Banach spaces | Origins | Coverings | Mathematical analysis | Collection | Subspaces | Unions
Journal Article
Science in China Series A: Mathematics, ISSN 1006-9283, 1/2008, Volume 51, Issue 1, pp. 143 - 147
By a ball-covering B of a Banach space X, we mean that it is a collection of open balls off the origin whose union contains the sphere of the unit ball of X.... 
ball-covering | 46B20 | Mathematics | Gateaux differentiability space | Applications of Mathematics | Banach space | 46G05 | isomorphic invariant | Isomorphic invariant | Ball-covering | COMPACT CONVEX-SETS | MATHEMATICS | PACKING | MAZUR INTERSECTION PROPERTY
Journal Article
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, ISSN 1345-4773, 2017, Volume 18, Issue 10, pp. 1867 - 1882
In this paper, some necessary and sufficient conditions for Gateaux differentiability of w*-lower semicontinuous convex function of X** are given. Moreover, we... 
MATHEMATICS | MATHEMATICS, APPLIED | Asplund space | ball-covering property | WEAK ASPLUND | convex function | FRECHET DIFFERENTIABILITY | Gateaux differentiability
Journal Article
Journal of Convex Analysis, ISSN 0944-6532, 2018, Volume 25, Issue 3, pp. 899 - 926
Analogous to weak compactness of subsets of Banach spaces and to property of subsets in super reflexive spaces, the purpose of this paper is to discuss super... 
Super weakly compact set | Ultraproduct | Banach space | Finite index | Finite dual index | Super Banach-Saks set | BALL-COVERINGS | PROPERTY | finite index | RENORMINGS | super Banach-Saks set | ultraproduct | MATHEMATICS | finite dual index | DENTABILITY INDEXES | REFLEXIVITY | NORMED SPACES | SETS | OPERATORS
Journal Article
表面技術, ISSN 0915-1869, 2016, Volume 67, Issue 8, pp. 428 - 433
Fine pattern formation(L/S=less than 50 μm)using electroless nickel/gold plating, extraneous nickel deposition on the resin area of a fine pattern is often... 
Thin Electroless Nickel/Gold Plating Process | Solder Ball Shear Strength | Electroless Nickel Strike Plating | Intermetallic | Covering of Nickel Plated Film
Journal Article
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