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Displaying 1461 – 1480 of 2683

On the diametral dimension of weighted spaces of analytic germs

Michael Langenbruch (2016)

Studia Mathematica

We prove precise estimates for the diametral dimension of certain weighted spaces of germs of holomorphic functions defined on strips near ℝ. This implies a full isomorphic classification for these spaces including the Gelfand-Shilov spaces $S ¹_{α}$ and $S ₁^{α}$ for α > 0. Moreover we show that the classical spaces of Fourier hyperfunctions and of modified Fourier hyperfunctions are not isomorphic.

On the differentiability of Lipschitz mappings in Fréchet spaces

P. Mankiewicz (1973)

Studia Mathematica

On the differentiation of convex functions in finite and infinite dimensional spaces

Luděk Zajíček (1979)

Czechoslovak Mathematical Journal

On the Dirichlet problem for functions of the first Baire class

Jiří Spurný (2001)

Commentationes Mathematicae Universitatis Carolinae

Let $ℋ$ be a simplicial function space on a metric compact space $X$ . Then the Choquet boundary $Ch X$ of $ℋ$ is an $F_{σ}$ -set if and only if given any bounded Baire-one function $f$ on $Ch X$ there is an $ℋ$ -affine bounded Baire-one function $h$ on $X$ such that $h = f$ on $Ch X$ . This theorem yields an answer to a problem of F. Jellett from [8] in the case of a metrizable set $X$ .

On the distributive radical of an Archimedean lattice-ordered group

Ján Jakubík (2009)

Czechoslovak Mathematical Journal

Let $G$ be an Archimedean $ℓ$ -group. We denote by $G^{d}$ and $R_{D} (G)$ the divisible hull of $G$ and the distributive radical of $G$ , respectively. In the present note we prove the relation ${(R_{D} (G))}^{d} = R_{D} (G^{d})$ . As an application, we show that if $G$ is Archimedean, then it is completely distributive if and only if it can be regularly embedded into a completely distributive vector lattice.

On the dual of L(E, F).

N. de de Grande-de Kimpe (1975)

Journal für die reine und angewandte Mathematik

On the dual space of $H_{B}^{1, \infty}$

Oscar Blasco (1988)

Colloquium Mathematicae

On the embedding theorem

Le Van Hot (1980)

Commentationes Mathematicae Universitatis Carolinae

On the equality between some classes of operators on Banach lattices

Belmesnaoui Aqzzouz, Aziz Elbour, Mohammed Moussa (2012)

Mathematica Bohemica

We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.