L1 spaces fail a certain aapproximative property
In this paper the author studies some cases of Banach space that does not have the property P1. He shows that if X=ℓ1 or L1(μ) for some non-purely atomic measure μ, then X does not have the property P1. He also shows that if X=ℓ∞ or C(Q) for some infinite compact Hausdorff space Q, then X* does not...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000210 |
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| _version_ | 1832547450461618176 |
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| author | Aref Kamal |
| author_facet | Aref Kamal |
| author_sort | Aref Kamal |
| collection | DOAJ |
| description | In this paper the author studies some cases of Banach space that does not have the
property P1. He shows that if X=ℓ1 or L1(μ) for some non-purely atomic measure μ, then X does not
have the property P1. He also shows that if
X=ℓ∞ or C(Q) for some infinite compact Hausdorff space
Q, then X* does not have the property P1. |
| format | Article |
| id | doaj-art-9213a72c9be74149bf580dc5b195d039 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9213a72c9be74149bf580dc5b195d0392025-02-03T06:44:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121115916310.1155/S0161171298000210L1 spaces fail a certain aapproximative propertyAref Kamal0Department of Mathematics and Computer Sciences, U.A.E University, P.O Box 17551, Al-Ain, United Arab EmiratesIn this paper the author studies some cases of Banach space that does not have the property P1. He shows that if X=ℓ1 or L1(μ) for some non-purely atomic measure μ, then X does not have the property P1. He also shows that if X=ℓ∞ or C(Q) for some infinite compact Hausdorff space Q, then X* does not have the property P1.http://dx.doi.org/10.1155/S0161171298000210Property P1classical Banach spaces ℓ1L1(μ)ℓ1ncompact width. |
| spellingShingle | Aref Kamal L1 spaces fail a certain aapproximative property International Journal of Mathematics and Mathematical Sciences Property P1 classical Banach spaces ℓ1 L1(μ)ℓ1n compact width. |
| title | L1 spaces fail a certain aapproximative property |
| title_full | L1 spaces fail a certain aapproximative property |
| title_fullStr | L1 spaces fail a certain aapproximative property |
| title_full_unstemmed | L1 spaces fail a certain aapproximative property |
| title_short | L1 spaces fail a certain aapproximative property |
| title_sort | l1 spaces fail a certain aapproximative property |
| topic | Property P1 classical Banach spaces ℓ1 L1(μ)ℓ1n compact width. |
| url | http://dx.doi.org/10.1155/S0161171298000210 |
| work_keys_str_mv | AT arefkamal l1spacesfailacertainaapproximativeproperty |