Change search
ReferencesLink to record
Permanent link

Direct link
Pointwise products of some Banach function spaces and factorization
Institute of Mathematics of Electric Faculty, Poznań University of Technology.
Institute of Mathematics of Electric Faculty, Poznań University of Technology.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2014 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 266, no 2, 616–659- p.Article in journal (Refereed) Published
Abstract [en]

The well-known factorization theorem of Lozanovskiĭ may be written in the form L1≡E⊙E′, where ⊙ means the pointwise product of Banach ideal spaces. A natural generalization of this problem would be the question when one can factorize F through E, i.e., when F≡E⊙M(E,F), where M(E,F) is the space of pointwise multipliers from E to F. Properties of M(E,F) were investigated in our earlier paper [41] and here we collect and prove some properties of the construction E⊙F. The formulas for pointwise product of Calderón–Lozanovskiĭ Eφ-spaces, Lorentz spaces and Marcinkiewicz spaces are proved. These results are then used to prove factorization theorems for such spaces. Finally, it is proved in Theorem 11 that under some natural assumptions, a rearrangement invariant Banach function space may be factorized through a Marcinkiewicz space.

Place, publisher, year, edition, pages
2014. Vol. 266, no 2, 616–659- p.
Research subject
URN: urn:nbn:se:ltu:diva-13256DOI: 10.1016/j.jfa.2013.10.028Local ID: c724094a-be49-42f7-89f4-7aa1fdc8fd30OAI: diva2:986208
Validerad; 2014; 20131120 (andbra)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

Open Access in DiVA

fulltext(356 kB)1 downloads
File information
File name FULLTEXT01.pdfFile size 356 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Maligranda, Lech
By organisation
Mathematical Science
In the same journal
Journal of Functional Analysis

Search outside of DiVA

GoogleGoogle Scholar
Total: 1 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

ReferencesLink to record
Permanent link

Direct link