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: 9

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
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

$ℒ_p$-Spaces and injective locally convex spaces

100%
Domański P.
Instytut Matematyczny Polskiej Akademii Nauk
EN
CONTENTS Introduction.................................................................................................................................................................5 Conventions and notations.........................................................................................................................................8 1. Preliminaries from the theory of locally convex spaces.........................................................................................11 2. Ultraproducts of locally convex spaces.................................................................................................................16 3. The principle of local reflexivity for locally convex spaces.....................................................................................19 4. Complemented subspaces of products and direct sums of Banach $L_p$-spaces and L₁ -predual spaces........24 5. Definition, examples and basic properties of locally convex $ℒ_p$-spaces..........................................................29 6. Definition, examples and basic properties of $Dℒ_p$-spaces..............................................................................39 7. Local properties of complemented subspaces of products and direct sums of Banach $L_p$-spaces................42 8. Duality between $ℒ_p$ and $Dℒ_p$-spaces and a characterization of injective spaces.....................................46 9. Extension, lifting and factorization properties of $ℒ_p$ and $Dℒ_p$-spaces.......................................................56 10. Fréchet $ℒ_p$- and (DF)-&Dℒ_p$-spaces with applications to Fréchet injective spaces..................................62 11. Comments and open problems...........................................................................................................................71 References...............................................................................................................................................................73
2
Content available remote

Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives

95%
Domański P.
Banach Center Publications
|
2004
|
tom 64
|
nr 1
51-70
EN
This paper is an extended version of an invited talk presented during the Orlicz Centenary Conference (Poznań, 2003). It contains a brief survey of applications to classical problems of analysis of the theory of the so-called PLS-spaces (in particular, spaces of distributions and real analytic functions). Sequential representations of the spaces and the theory of the functor Proj¹ are applied to questions like solvability of linear partial differential equations, existence of a solution depending linearly and continuously on the right hand side of the equation and existence of a solution depending analytically on parameters.
3
Content available remote

Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions

61%
Domański P., Lindström M.
Annales Polonici Mathematici
|
2002
|
tom 79
|
nr 3
233-264
EN
We give an elementary approach which allows us to evaluate Seip's conditions characterizing interpolating and sampling sequences in weighted Bergman spaces of infinite order for a wide class of weights depending on the distance to the boundary of the domain. Our results also give some information on cases not covered by Seip's theory. Moreover, we obtain new criteria for weights to be essential.
4
Content available remote

The space of real-analytic functions has no basis

61%
Domański P., Vogt D.
Studia Mathematica
|
2000
|
tom 142
|
nr 2
187-200
EN
Let Ω be an open connected subset of $ℝ^d$. We show that the space A(Ω) of real-analytic functions on Ω has no (Schauder) basis. One of the crucial steps is to show that all metrizable complemented subspaces of A(Ω) are finite-dimensional.
5
Content available remote

Algebra of multipliers on the space of real analytic functions of one variable

61%
Domański P., Langenbruch M.
Studia Mathematica
|
2012
|
tom 212
|
nr 2
155-171
EN
We consider the topological algebra of (Taylor) multipliers on spaces of real analytic functions of one variable, i.e., maps for which monomials are eigenvectors. We describe multiplicative functionals and algebra homomorphisms on that algebra as well as idempotents in it. We show that it is never a Q-algebra and never locally m-convex. In particular, we show that Taylor multiplier sequences cease to be so after most permutations.
6
Content available remote

Köthe coechelon spaces as locally convex algebras

61%
Bonet J., Domański P.
Studia Mathematica
|
2010
|
tom 199
|
nr 3
241-265
EN
We study those Köthe coechelon sequence spaces $k_{p}(V)$, 1 ≤ p ≤ ∞ or p = 0, which are locally convex (Riesz) algebras for pointwise multiplication. We characterize in terms of the matrix V = (vₙ)ₙ when an algebra $k_{p}(V)$ is unital, locally m-convex, a 𝒬-algebra, has a continuous (quasi)-inverse, all entire functions act on it or some transcendental entire functions act on it. It is proved that all multiplicative functionals are continuous and a precise description of all regular and all degenerate maximal ideals is given even for arbitrary solid algebras of sequences with pointwise multiplication. In particular, it is shown that all regular maximal ideals are solid.
7
Content available remote

A note on composition operators on spaces of real analytic functions

49%
Domański P., Goliński M., Langenbruch M.
Annales Polonici Mathematici
|
2012
|
tom 103
|
nr 2
209-216
EN
We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map φ such that the associated composition operator is not open onto its image.
8
Content available remote

Uncomplementability of the spaces of norm continuous functions in some spaces of "weakly" continuous functions

49%
Domański P., Drewnowski L.
Studia Mathematica
|
1990
|
tom 97
|
nr 3
245-251
9
Content available remote

On the splitting of twisted sums, and the three space problem for local convexity

42%
Domański P.
Studia Mathematica
|
1985
|
tom 82
|
nr 2
155-189
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.