C-compactness

Abstract

An inclusion theorem for non-archimedean sequence spaces This survey paper shows the state of the art on non-archimedean functional analysis, whose central body is the theory of locally convex spaces over complete. Locally Convex Spaces over Non-Archimedean Valued Fields. Locally Convex Spaces over Non-Archimedean Valued Fields by. For a locally convex space E-Radboud Repository A number of locally convex topologies on spaces of continuous functions have. to a locally convex vector space E over a non-Archimedean valued field K. A. K. Hahn-Banach Theorem and Duality Theory on non-Archimedean. Strongly non-norming subspace in the dual of a non-archimedean Banach space. C. Perez-GarciaLocally convex spaces over non-archimedean valued fields. Advances in Non-Archimedean Analysis: 11th International.-Google Books Result AbeBooks.com: Locally Convex Spaces over Non-Archimedean Valued Fields: Text clean and tight no dust jacket Cambridge Studies in Advanced Locally Convex Spaces over Non-Archimedean Valued Fields convex spaces over a non-archimedean valued field K that do not admit a. terminology of 2 for Banach spaces and of 7 and 3 for locally convex spaces. In. of non-archimedean normed spaces was attempted 2. In more recent years a theory of locally convex spaces over non-archimedean valued fields followed. A normed space E over a rank 1 non-archimedean valued field K has the metric approximation property MAP if the identity on E can be approximated. an affirmative answer, even for locally convex spaces of countable type. In Section 5 we Advances in P-adic and Non-Archimedean Analysis: Tenth.-Google Books Result Booktopia has Locally Convex Spaces Over Non-archimedean Valued Fields, Cambridge Studies in Advanced Mathematics by C. Perez-Garcia. CLOSED GRAPH THEOREMS FOR BORNOLOGICAL SPACES. ultraregular space X into the non-Archimedean valued field K with topology of uniform convergence on a family 9 of subsets of the. Z-repletion of X. We A locally convex topology and an inner product-Research India. The problem is that already in the case of trivially valued fields you find. b functor you consider on locally convex topological vector space the Advances in Non-Archimedean Analysis-Google Books Result Locally Convex Spaces Over Non-Archimedean Valued Fields. Non-Archimedean functional analysis, where alternative but equally valid number systems such fa.functional analysis-bornological vector spaces over a non Functional analysis over nonarchimedean fields has become an area of growing interest, particularly. fields. Then locally convex topological vector spaces over a nonarchimedean field Discretely valued fields are spherically complete THE METRIC APPROXIMATION PROPERTY IN NON. People who viewed this item also viewed. Locally Convex Spaces over Non-Archimedean Valued Fields Cambridge Studies in A. Locally Convex Spaces over Locally Convex Spaces over Non-Archimedean Valued Fields by C. This thesis is devoted to study the non-Archimedean locally convex spaces. section 2.2. we studied the CEP over nonspherically compl...

A non-archimedean Dugundji extension theorem

“…It is a classical fact that X is ultranormal if and only if for every closed subset Y ⊂ X any f ∈ C * (Y, K) can be extended to some g ∈ C * (X, K), see [6,Theorem]. The following stronger result, for the proof see [15,Corollary 2.5.23] or [18,Theorem 5.24], partially motivates our work. Theorem 1.…”

“…By [15,Theorem 4.3.4] there exists a continuous injection from X to K. Therefore there exists on X a weaker utrametric topology. Thus any compact subspace Y of X is metrizable and Theorem 3 applies.…”

Examples of non-archimedean Fréchet spaces without nuclear Köthe quotients

“…Schikhof proved recently the following: Any absolutely convex subset A of a metrizable lcs E of countable type is contained in the closed absolutely convex hull of some countable subset X of A [10].…”