Original Research
Absolutely summing multipliers and the Dvoretzky - Rogers theorem
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie | Vol 9, No 2 | a453 |
DOI: https://doi.org/10.4102/satnt.v9i2.453
| © 1990 J. H. Fourie
| This work is licensed under CC Attribution 4.0
Submitted: 05 July 1990 | Published: 05 July 1990
Submitted: 05 July 1990 | Published: 05 July 1990
About the author(s)
J. H. Fourie,, South AfricaFull Text:
PDF (212KB)Abstract
The space M(E) of absolutely summing multipliers of a Banach space E is considered. For some special types of Banach spaces E it turns out that M (E) can he characterized as an lᴾ-space of absolutely summable scalar sequences. We provide some important examples of Banach spaces for which the lᴾ-characterizations of M(E) hold true. The well known Dvoretzky-Rogers theorem plays an important role in these characterizations. An “alternative" version of the last mentioned theorem is discussed.
Keywords
No related keywords in the metadata.
Metrics
Total abstract views: 1672Total article views: 1541
Reader Comments
Before posting a comment, read our privacy policy.Post a comment (login required)