Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 4

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

M-ideals of homogeneous polynomials

100%
Dimant V.
Studia Mathematica
|
2011
|
tom 202
|
nr 1
81-104
EN
We study the problem of whether $𝓟_{w}(ⁿE)$, the space of n-homogeneous polynomials which are weakly continuous on bounded sets, is an M-ideal in the space 𝓟(ⁿE) of continuous n-homogeneous polynomials. We obtain conditions that ensure this fact and present some examples. We prove that if $𝓟_{w}(ⁿE)$ is an M-ideal in 𝓟(ⁿE), then $𝓟_{w}(ⁿE)$ coincides with $𝓟_{w0}(ⁿE)$ (n-homogeneous polynomials that are weakly continuous on bounded sets at 0). We introduce a polynomial version of property (M) and derive that if $𝓟_{w}(ⁿE) = 𝓟_{w0}(ⁿE)$ and 𝒦(E) is an M-ideal in 𝓛(E), then $𝓟_{w}(ⁿE)$ is an M-ideal in 𝓟(ⁿE). We also show that if $𝓟_{w}(ⁿE)$ is an M-ideal in 𝓟(ⁿE), then the set of n-homogeneous polynomials whose Aron-Berner extension does not attain its norm is nowhere dense in 𝓟(ⁿE). Finally, we discuss an analogous M-ideal problem for block diagonal polynomials.
2
Content available remote

Biduals of tensor products in operator spaces

63%
Dimant V., Fernández-Unzueta M.
Studia Mathematica
|
2015
|
tom 230
|
nr 2
165-185
EN
We study whether the operator space $V** \overset{α}{⊗} W**$ can be identified with a subspace of the bidual space $(V \overset{α}{⊗} W)**$, for a given operator space tensor norm. We prove that this can be done if α is finitely generated and V and W are locally reflexive. If in addition the dual spaces are locally reflexive and the bidual spaces have the completely bounded approximation property, then the identification is through a complete isomorphism. When α is the projective, Haagerup or injective norm, the hypotheses can be weakened.
3
Content available remote

Multilinear Hölder-type inequalities on Lorentz sequence spaces

51%
Carando D., Dimant V., Sevilla-Peris P.
Studia Mathematica
|
2009
|
tom 195
|
nr 2
127-146
EN
We establish Hölder-type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain estimates for their norms. We also consider norms of multilinear forms in different Banach multilinear ideals.
4
Content available remote

Integral holomorphic functions

51%
Dimant V., Galindo P., Maestre M., Zalduendo I.
Studia Mathematica
|
2004
|
tom 160
|
nr 1
83-99
EN
We define the class of integral holomorphic functions over Banach spaces; these are functions admitting an integral representation akin to the Cauchy integral formula, and are related to integral polynomials. After studying various properties of these functions, Banach and Fréchet spaces of integral holomorphic functions are defined, and several aspects investigated: duality, Taylor series approximation, biduality and reflexivity.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.