Topological algebras of functions of bounded variation I

Martin Blümlinger; Robert F. Tichy

doi:10.1007/BF01168302

Topological algebras of functions of bounded variation I

Martin Blümlinger^*, Robert F. Tichy

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

A concept of generalized bounded variation for functions in s real variables is introduced. It is proved that the space of functions of this kind is a commutative Fréchet algebra with respect to pointwise multiplication. Several properties of this algebra are established.

Originalsprache	englisch
Seiten (von - bis)	245-255
Seitenumfang	11
Fachzeitschrift	Manuscripta mathematica
Jahrgang	65
Ausgabenummer	2
DOIs	https://doi.org/10.1007/BF01168302
Publikationsstatus	Veröffentlicht - 1 Juni 1989
Extern publiziert	Ja

ASJC Scopus subject areas

Allgemeine Mathematik

Zugriff auf Dokument

10.1007/BF01168302

Andere Dateien und Links

http://www.scopus.com/inward/record.url?scp=34249972379&partnerID=8YFLogxK

Dieses zitieren

@article{a5845819a9b4487781d1a36524214b42,

title = "Topological algebras of functions of bounded variation I",

abstract = "A concept of generalized bounded variation for functions in s real variables is introduced. It is proved that the space of functions of this kind is a commutative Fr{\'e}chet algebra with respect to pointwise multiplication. Several properties of this algebra are established.",

author = "Martin Bl{\"u}mlinger and Tichy, {Robert F.}",

year = "1989",

month = jun,

day = "1",

doi = "10.1007/BF01168302",

language = "English",

volume = "65",

pages = "245--255",

journal = "Manuscripta mathematica",

issn = "0025-2611",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Topological algebras of functions of bounded variation I

AU - Blümlinger, Martin

AU - Tichy, Robert F.

PY - 1989/6/1

Y1 - 1989/6/1

N2 - A concept of generalized bounded variation for functions in s real variables is introduced. It is proved that the space of functions of this kind is a commutative Fréchet algebra with respect to pointwise multiplication. Several properties of this algebra are established.

AB - A concept of generalized bounded variation for functions in s real variables is introduced. It is proved that the space of functions of this kind is a commutative Fréchet algebra with respect to pointwise multiplication. Several properties of this algebra are established.

UR - http://www.scopus.com/inward/record.url?scp=34249972379&partnerID=8YFLogxK

U2 - 10.1007/BF01168302

DO - 10.1007/BF01168302

M3 - Article

AN - SCOPUS:34249972379

SN - 0025-2611

VL - 65

SP - 245

EP - 255

JO - Manuscripta mathematica

JF - Manuscripta mathematica

IS - 2

ER -

Topological algebras of functions of bounded variation I

Abstract

ASJC Scopus subject areas

Zugriff auf Dokument

Andere Dateien und Links

Fingerprint

Dieses zitieren