[图书][B] Banach spaces of continuous functions as dual spaces
HG Dales, FK Dashiell, ATM Lau, D Strauss - 2016 - Springer
Let K be a locally compact space, and denote by C0 (K) the Banach space of all continuous
functions on K that vanish at infinity, taken with the uniform norm. This fundamentally …
functions on K that vanish at infinity, taken with the uniform norm. This fundamentally …
A Banach space C (K) reading the dimension of K
D Głodkowski - Journal of Functional Analysis, 2023 - Elsevier
Assuming Jensen's diamond principle (⋄) we construct for every natural number n> 0 a
compact Hausdorff space K such that whenever the Banach spaces C (K) and C (L) are …
compact Hausdorff space K such that whenever the Banach spaces C (K) and C (L) are …
Musing on Kunen's compact L-space
G Plebanek - Topology and its Applications, 2023 - Elsevier
We present a connected version of the compact L-space constructed by Kenneth Kunen
under CH. We show that this provides a Corson compact space K such that the Banach …
under CH. We show that this provides a Corson compact space K such that the Banach …
[HTML][HTML] Weak forms of Banach–Stone theorem for C0 (K, X) spaces via the αth derivatives of K
EM Galego, MA Rincón-Villamizar - Bulletin des Sciences Mathématiques, 2015 - Elsevier
Let X be a Banach space and S be a locally compact Hausdorff space. By C 0 (S, X) we will
stand the Banach space of all continuous X-valued functions on S endowed with the …
stand the Banach space of all continuous X-valued functions on S endowed with the …
Digging into the classes of -Corson compact spaces
W Marciszewski, G Plebanek, K Zakrzewski - arXiv preprint arXiv …, 2021 - arxiv.org
For any cardinal number $\kappa $ and an index set $\Gamma $, $\Sigma_\kappa $-product
of real lines consists of elements of ${\mathbb R}^\Gamma $ having $<\kappa $ nonzero …
of real lines consists of elements of ${\mathbb R}^\Gamma $ having $<\kappa $ nonzero …
On embeddings of spaces into spaces
L Candido - arXiv preprint arXiv:1308.6555, 2013 - arxiv.org
Let $ C_0 (K, X) $ denote the space of all continuous $ X $-valued functions defined on the
locally compact Hausdorff space $ K $ which vanish at infinity, provided with the supremum …
locally compact Hausdorff space $ K $ which vanish at infinity, provided with the supremum …
On positive embeddings of C (K) spaces
G Plebanek - arXiv preprint arXiv:1302.4360, 2013 - arxiv.org
We investigate isomorphic embeddings $ T: C (K)\to C (L) $ between Banach spaces of
continuous functions. We show that if such an embedding $ T $ is a positive operator then …
continuous functions. We show that if such an embedding $ T $ is a positive operator then …
On isomorphisms of spaces and cardinal invariants of derivatives of
J Rondoš - arXiv preprint arXiv:2305.06770, 2023 - arxiv.org
We present a necessary condition for a pair of $\mathcal {C}(K) $ spaces to be isomorphic in
terms of topological properties of Cantor-Bendixon derivatives of $ K $. This in particular …
terms of topological properties of Cantor-Bendixon derivatives of $ K $. This in particular …
[PDF][PDF] ON ISOMORPHISMS OF C (K) SPACES AND CARDINAL INVARIANTS OF DERIVATIVES OF K
J RONDOŠ - arXiv preprint arXiv:2305.06770, 2023 - academia.edu
We present a necessary condition for a pair of C (K) spaces to be isomorphic in terms of
topological properties of Cantor-Bendixon derivatives of K. This in particular gives a …
topological properties of Cantor-Bendixon derivatives of K. This in particular gives a …
Complementations in and
L Candido - arXiv preprint arXiv:2104.07152, 2021 - arxiv.org
We investigate the geometry of $ C (K, X) $ and $\ell_ {\infty}(X) $ spaces through
complemented subspaces of the form $\left (\bigoplus_ {i\in\varGamma} X_i\right) _ {c_0} …
complemented subspaces of the form $\left (\bigoplus_ {i\in\varGamma} X_i\right) _ {c_0} …