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: 5

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

Pointwise absolutely convergent series of operators and related classes of Banach spaces

100%
Kadets L., Kadets V.
Open Mathematics
|
2012
|
tom 10
|
nr 2
603-608
EN
We study classes of operators represented as a pointwise absolutely convergent series of simpler ones, starting with rank 1 operators. In this short note we address the question, how far the repetition of this procedure can lead.
2
Content available remote

Sums of SCD sets and their applications to SCD operators and narrow operators

100%
Kadets V., Shepelska V.
Open Mathematics
|
2010
|
tom 8
|
nr 1
129-134
EN
We answer two open questions concerning the recently introduced notions of slicely countably determined (SCD) sets and SCD operators in Banach spaces. An application to narrow operators in spaces with the Daugavet property is given.
3
Content available remote

Properties of lush spaces and applications to Banach spaces with numerical index 1

81%
Boyko K., Kadets V., Martín M., Merí J.
Studia Mathematica
|
2009
|
tom 190
|
nr 2
117-133
EN
The concept of lushness, introduced recently, is a Banach space property, which ensures that the space has numerical index 1. We prove that for Asplund spaces lushness is actually equivalent to having numerical index 1. We prove that every separable Banach space containing an isomorphic copy of c₀ can be renormed equivalently to be lush, and thus to have numerical index 1. The rest of the paper is devoted to the study of lushness just as a property of Banach spaces. We prove that lushness is separably determined, is stable under ultraproducts, and we characterize those spaces of the form X = (ℝⁿ,||·||) with absolute norm such that X-sum preserves lushness of summands, showing that this property is equivalent to lushness of X.
4
Content available remote

Quotients of Banach Spaces with the Daugavet Property

81%
Kadets V., Shepelska V., Werner D.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2008
|
tom 56
|
nr 2
131-147
EN
We consider a general concept of Daugavet property with respect to a norming subspace. This concept covers both the usual Daugavet property and its weak* analogue. We introduce and study analogues of narrow operators and rich subspaces in this general setting and apply the results to show that a quotient of L₁[0,1] by an ℓ₁-subspace need not have the Daugavet property. The latter answers in the negative a question posed to us by A. Pełczyński.
5
Content available remote

Remarks on rich subspaces of Banach spaces

81%
Kadets V., Kalton N., Werner D.
Studia Mathematica
|
2003
|
tom 159
|
nr 2
195-206
EN
We investigate rich subspaces of L₁ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.
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.