Wyniki wyszukiwania - Biblioteka Nauki

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

2 Drewnowski L.

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Arrangements of series preserving their convergence or boundedness

100%

Drewnowski L.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2007

tom Vol. 47, [Z] 1

57-75

For a map p of N into itself, consider the induced transformation [...] of series in a topological vector space. Then such properties of this transformation as sending convergent series to convergent series, or convergent series to bounded series, or bounded series to bounded series (and a few more) are mutually equivalent. Moreover, they are equivalent to an intrinsic property of p which reduces to those found by Agnew and Pleasants (in the case of permutations) and Witula (in the general case) as necessary and sufficient conditions for the above transformation to preserve convergence of scalar series. In the paper, the scalar case is treated first using simple Banach space methods, and then the result is easily extended to the general setting.

On Banach spaces of regulated functions

100%

Drewnowski L.

tom Vol 57, No. 2

153--169

For a relatively compact subset S of the real line R, let R(S) denote the Banach space (under the sup norm) of all regulated scalar functions defined on S. The purpose of this paper is to study those closed subspaces of R(S) that consist of functions that are left-continuous, right-continuous, continuous, and have a (two-sided) limit at each point of some specified disjoint subsets of S. In particular, some of these spaces are represented as C(K) spaces for suitable, explicitly constructed, compact spaces K.