Zobrazeno 1 - 10
of 268
pro vyhledávání: '"Kąkol J"'
Publikováno v:
RACSAM 113:4 (2019), 3015-3030
The famous Rosenthal-Lacey theorem asserts that for each infinite compact space $K$ the Banach space $C(K)$ admits a quotient which is either a copy of $c_{0}$ or $\ell_{2}$. The aim of the paper is to study a natural variant of this result for the s
Externí odkaz:
http://arxiv.org/abs/1809.07054
Publikováno v:
Topology Appl. 249:1 (2018) 95-102
The famous Rosenthal-Lacey theorem asserts that for each infinite compact set $K$ the Banach space $C(K)$ admits a quotient which is either a copy of $c$ or $\ell_{2}$. What is the case when the uniform topology of $C(K)$ is replaced by the pointwise
Externí odkaz:
http://arxiv.org/abs/1804.02552
While the classic separable quotient problem remains open, we survey general results related to this problem and examine the existence of a particular infinitedimensional separable quotient in some Banach spaces of vector-valued functions, linear ope
Externí odkaz:
http://arxiv.org/abs/1709.09646
Publikováno v:
J. Funct. Anal. 272(5): 1876-1891, 2017
The Gurari\u{\i} space is the unique separable Banach space $\mathbb{G}$ which is of almost universal disposition for finite-dimensional Banach spaces, which means that for every $\varepsilon>0$, for all finite-dimensional normed spaces $E \subseteq
Externí odkaz:
http://arxiv.org/abs/1603.06361
Following [3] we say that a Tychonoff space $X$ is an Ascoli space if every compact subset $\mathcal{K}$ of $C_k(X)$ is evenly continuous; this notion is closely related to the classical Ascoli theorem. Every $k_\mathbb{R}$-space, hence any $k$-space
Externí odkaz:
http://arxiv.org/abs/1504.04202
Autor:
Gabriyelyan, S. S., Kakol, J.
Being motivated by the study of the space $C_c(X)$ of all continuous real-valued functions on a Tychonoff space $X$ with the compact-open topology, we introduced in [15] the concepts of a $cp$-network and a $cn$-network (at a point $x$) in $X$. In th
Externí odkaz:
http://arxiv.org/abs/1412.1497
Autor:
Gabriyelyan, S. S., Kakol, J.
The concept of the strong Pytkeev property, recently introduced by Tsaban and Zdomskyy in [32], was successfully applied to the study of the space $C_c(X)$ of all continuous real-valued functions with the compact-open topology on some classes of topo
Externí odkaz:
http://arxiv.org/abs/1412.1494
Autor:
Ferrando, J. C.1 jc.ferrando@umh.es, Kąkol, J.2 kakol@amu.edu.pl
Publikováno v:
Bulletin of the Belgian Mathematical Society - Simon Stevin. Sep2022, Vol. 28 Issue 5, p709-721. 13p.
Autor:
Ka̧kol, J., Śliwa, W.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 January 2018 457(1):104-113