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: 6

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

Minimal pairs of compact convex sets

100%
Pallaschke D., Urbański R.
Banach Center Publications
|
2004
|
tom 64
|
nr 1
147-158
EN
Pairs of compact convex sets naturally arise in quasidifferential calculus as sub- and superdifferentials of a quasidifferentiable function (see Dem86). Since the sub- and superdifferentials are not uniquely determined, minimal representations are of special importance. In this paper we give a survey on some recent results on minimal pairs of closed bounded convex sets in a topological vector space (see PALURB). Particular attention is paid to the problem of characterizing minimal representatives of a pair of nonempty compact convex subsets of a locally convex topological vector space in the sense of the Rådström-Hörmander theory.
2
Content available remote

On Simons' version of Hahn-Banach-Lagrange theorem

81%
Grzybowski J., Przybycień H., Urbański R.
Banach Center Publications
|
2014
|
tom 102
|
nr 1
99-104
EN
In this paper we generalize in Theorem 12 some version of Hahn-Banach Theorem which was obtained by Simons. We also present short proofs of Mazur and Mazur-Orlicz Theorem (Theorems 2 and 3).
3
Content available remote

Minimal pairs of bounded closed convex sets as minimal representations of elements of the Minkowski-Rådström-Hörmander spaces

81%
Grzybowski J., Pallaschke D., Urbański R.
Banach Center Publications
|
2009
|
tom 84
|
nr 1
31-55
EN
The theory of minimal pairs of bounded closed convex sets was treated extensively in the book authored by D. Pallaschke and R. Urbański, Pairs of Compact Convex Sets, Fractional Arithmetic with Convex Sets. In the present paper we summarize the known results, generalize some of them and add new ones.
4
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Support functions and subdifferentials

81%
Grzybowski J., Pallaschke D., Urbański R.
Commentationes Mathematicae
|
2016
|
tom 56
|
nr 1
EN
In this paper we study Minkowski duality, i.e. the correspondence between sublinear functions and closed convex sets in the context of dual pairs of vector spaces.
5

Algebraic Separation and Shadowing of Arbitrary Sets

81%
Grzybowski J., Pallaschke D., Urbański R.
Commentationes Mathematicae
|
2013
|
tom 53
|
nr 2
EN
In this paper we consider a generalization of the separation technique proposed in [10,4,7] for the separation of finitely many compact convex sets \(A_i,~i \in I \) by another compact convex set \(S\) in a locally convex vector space to arbitrary sets in real vector spaces. Then we investigate the notation of shadowing set which is a generalization of the notion of separating set and construct separating sets by means of a generalized Demyanov-difference in locally convex vector spaces.
6
Content available remote

Modular spaces over a field with valuation generated by a (ω,ϑ)-convex modular

70%
Urbański R.
Studia Mathematica
|
1983-1984
|
tom 77
|
nr 2
121-131
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.