On series whose rearrangements possess discrete sets of limit points

Roman Wituła; Edyta Hetmaniok; Konrad Kaczmarek

doi:10.1515/jaa-2014-0009

On series whose rearrangements possess discrete sets of limit points

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Abstrakt

Aim of this short paper is to construct in any infinite-dimensional Hilbert space a series with terms tending to zero such that some of its rearrangements possess the discrete set of limit points.

Język oryginału	angielski
Strony (od–do)	93-96
Liczba stron	4
Czasopismo	Journal of Applied Analysis
Tom	20
Numer wydania	1
Identyfikatory DOI	https://doi.org/10.1515/jaa-2014-0009
Status publikacji	Opublikowano - 1 cze 2014

Obszary tematyczne ASJC Scopus

Fizyka matematyczna
Statystyka, prawdopodobieństwo i niepewność
Teoria i matematyka obliczeń
Matematyka stosowana

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10.1515/jaa-2014-0009

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abstract = "Aim of this short paper is to construct in any infinite-dimensional Hilbert space a series with terms tending to zero such that some of its rearrangements possess the discrete set of limit points.",

keywords = "Series in Banach space, rearrangements of series, sets of limit points",

author = "Roman Witu{\l}a and Edyta Hetmaniok and Konrad Kaczmarek",

year = "2014",

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AU - Wituła, Roman

AU - Hetmaniok, Edyta

AU - Kaczmarek, Konrad

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N2 - Aim of this short paper is to construct in any infinite-dimensional Hilbert space a series with terms tending to zero such that some of its rearrangements possess the discrete set of limit points.

AB - Aim of this short paper is to construct in any infinite-dimensional Hilbert space a series with terms tending to zero such that some of its rearrangements possess the discrete set of limit points.

KW - Series in Banach space

KW - rearrangements of series

KW - sets of limit points

UR - https://www.scopus.com/pages/publications/84902246239

U2 - 10.1515/jaa-2014-0009

DO - 10.1515/jaa-2014-0009

M3 - Article

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VL - 20

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JO - Journal of Applied Analysis

JF - Journal of Applied Analysis

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On series whose rearrangements possess discrete sets of limit points

Abstrakt

Obszary tematyczne ASJC Scopus

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