Supplement to the paper “on the duality of functors generated by spaces of vector-valued functions”

Standard

Supplement to the paper “on the duality of functors generated by spaces of vector-valued functions”. / Buhvalov, A. V.

в: Mathematics of the USSR - Izvestija, Том 13, № 2, 30.04.1979, стр. 215-219.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{d2184f8400ca43a4ab1e0d43e04981bd,

title = "Supplement to the paper “on the duality of functors generated by spaces of vector-valued functions”",

abstract = "Let E be a Banach space of measurable functions, and X a Banach space. It is known that Eis dense in the space E(X) of vector-valued functions if the condition (A) holds:The necessity of this condition was shown in the paper cited in the title (MR53 #8920) under the assumption that X contains a complemented infinite-dimensional subspace with unconditional basis. In the present paper the requirement of the existence of such a subspace is removed. Also, an error in the earlier paper is corrected.Bibliography: 7 titles.",

keywords = "duality of functors, SCOPUS, WOS",

author = "Buhvalov, {A. V.}",

note = "Buhvalov, A. V. Supplement to the paper “on the duality of functors generated by spaces of vector-valued functions” // Mathematics of the USSR – Izvestija. – 1979. - Volume 13, Issue 2. – P. 215-219",

year = "1979",

month = apr,

day = "30",

doi = "10.1070/IM1979v013n02ABEH002040",

language = "English",

volume = "13",

pages = "215--219",

journal = "Izvestiya Mathematics",

issn = "1064-5632",

publisher = "IOP Publishing Ltd.",

number = "2",

}

RIS

TY - JOUR

T1 - Supplement to the paper “on the duality of functors generated by spaces of vector-valued functions”

AU - Buhvalov, A. V.

N1 - Buhvalov, A. V. Supplement to the paper “on the duality of functors generated by spaces of vector-valued functions” // Mathematics of the USSR – Izvestija. – 1979. - Volume 13, Issue 2. – P. 215-219

PY - 1979/4/30

Y1 - 1979/4/30

N2 - Let E be a Banach space of measurable functions, and X a Banach space. It is known that Eis dense in the space E(X) of vector-valued functions if the condition (A) holds:The necessity of this condition was shown in the paper cited in the title (MR53 #8920) under the assumption that X contains a complemented infinite-dimensional subspace with unconditional basis. In the present paper the requirement of the existence of such a subspace is removed. Also, an error in the earlier paper is corrected.Bibliography: 7 titles.

AB - Let E be a Banach space of measurable functions, and X a Banach space. It is known that Eis dense in the space E(X) of vector-valued functions if the condition (A) holds:The necessity of this condition was shown in the paper cited in the title (MR53 #8920) under the assumption that X contains a complemented infinite-dimensional subspace with unconditional basis. In the present paper the requirement of the existence of such a subspace is removed. Also, an error in the earlier paper is corrected.Bibliography: 7 titles.

KW - duality of functors

KW - SCOPUS

KW - WOS

UR - http://www.scopus.com/inward/record.url?scp=84956208591&partnerID=8YFLogxK

U2 - 10.1070/IM1979v013n02ABEH002040

DO - 10.1070/IM1979v013n02ABEH002040

M3 - Article

AN - SCOPUS:84956208591

VL - 13

SP - 215

EP - 219

JO - Izvestiya Mathematics

JF - Izvestiya Mathematics

SN - 1064-5632

IS - 2

ER -

ID: 36782621