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In set theory without the Axiom of Choice ZF, we prove that for every commutative field $𝕂$ , the following statement $𝐃_{𝕂}$ : “On every non null $𝕂$ -vector space, there exists a non null linear form” implies the existence of a “ $𝕂$ -linear extender” on every vector subspace of a $𝕂$ -vector space. This solves a question raised in Morillon M., Linear forms and axioms of choice, Comment. Math. Univ. Carolin. 50 (2009), no. 3, 421-431. In the second part of the paper, we generalize our results in the case of spherically...

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$L$ -fuzzifying topological vector spaces.

La conjecture de la couronne en analyse complexe et p-adique

La propiedad de Orlicz-Pettis en análisis p-ádico.

Lacunary statistical convergence on probabilistic normed spaces.

Limited spaces

Limites uniformes de polynômes dans un corps valué complet non archimédien

Linear extenders and the Axiom of Choice

Local analysis of nonstandard $C^{\infty}$ functions of pre-distributional type

Local convexity is a three-space property for non-archimedean Fréchet spaces

Local invertibility of non-archimedean vector-valued functions

Locally convex spaces over nonspherically complete valued fields

Loeb completion of internal vector-valued measures.

Currently displaying 1 – 12 of 12