Zobrazeno 1 - 10
of 171
pro vyhledávání: '"W.H. Schikhof"'
Autor:
W.H. Schikhof, C. Perez-Garcia
Publikováno v:
Canadian Mathematical Bulletin. 55:821-829
The study carried out in this paper about some new examples of Banach spaces, consisting of certain valued fields extensions, is a typical non-archimedean feature. We determine whether these extensions are of countable type, have t-orthogonal bases,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e4e212c0362f9c757d8c408b824e1d5
https://doi.org/10.4153/cmb-2011-133-2
https://doi.org/10.4153/cmb-2011-133-2
Publikováno v:
Indagationes Mathematicae. 11(2):187-195
The problem of the existence of (orthogonal) bases and basic sequences in non-archimedean locally convex spaces is studied. To this end we derive a characterization of compactoidity in terms of orthogonal sequences (Theorem 2.2).
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79ec26344a0dec53552041f76176946b
Autor:
W.H. Schikhof, H. Ochsenius
Publikováno v:
Indagationes Mathematicae. New Series, 10, 4, pp. 601-613
Indagationes Mathematicae. New Series, 10, 601-613
Indagationes Mathematicae. New Series, 10, 601-613
Summary Let K be a complete infinite rank valued field. In [4] we studied Norm Hilbert Spaces (NHS) over K i.e. K-Banach spaces for which closed subspaces admit projections of norm ≤ 1. In this paper we prove the following striking properties of co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78af912bcacbd7b84418648168b6a19c
https://doi.org/10.1016/s0019-3577(00)87912-4
https://doi.org/10.1016/s0019-3577(00)87912-4
Autor:
W.H. Schikhof, T. Kiyosawa
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 19, Iss 4, Pp 637-642 (1996)
It is shown that, for a large class of non-archimedean normed spacesE, a subsetXis weakly compact as soon asf(X)is compact for allf∈E′(Theorem 2.1), a fact that has no analogue in Functional Analysis over the real or complex numbers. As a Corolla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65e275834801d42b86a06e3c3c2b59b8
https://doi.org/10.1155/s0161171296000907
https://doi.org/10.1155/s0161171296000907
Autor:
C. Perez-Garcia, W.H. Schikhof
Publikováno v:
Canadian Mathematical Bulletin. 38:360-365
For finite-dimensional subspaces of ℓ∞ over a non-archimedean valued base field K we study orthocomplementation as related to the Hahn-Banach property and strictness. As a corollary we obtain that, if K is not spherically complete, a closed hyper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e6f3c9bcc227731fb0d042a5ad23a79
https://doi.org/10.4153/cmb-1995-052-4
https://doi.org/10.4153/cmb-1995-052-4
Autor:
C. Perez-Garcia, W.H. Schikhof
Publikováno v:
Indagationes Mathematicae. 6(1):121-127
By forming tensor products we construct natural examples of non-reflexive (Section 2) and nonspherically complete (Section 3) closed subspaces of the non-archimedean space l ∞ . Also, we study (Section 4) conditions under which two spherically comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8b2ab18398126ff1f5bf2abfdcf46ea
Publikováno v:
Annales mathématiques Blaise Pascal. 2:43-50
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e80410d7c7cbbd7235972fa0589215ba
https://doi.org/10.5802/ambp.18
https://doi.org/10.5802/ambp.18
Autor:
W.H. Schikhof
Publikováno v:
Annales mathématiques Blaise Pascal. 2:267-273
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::432c8363415be00ebda13ecb8c469742
https://doi.org/10.5802/ambp.37
https://doi.org/10.5802/ambp.37