Spaces of compact operators which are M-ideals in L(X,Y)
Suppose X and Y are reflexive Banach spaces. If K(X,Y), the space of all compact linear operaters from X to Y is an M-ideal in L(X,Y), the space of all bounded linear operators from X to Y, then the second dual space K(X,Y)** of K(X,Y) is isometrically isomorphic to L(X,Y).
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000802 |
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| _version_ | 1832565017853034496 |
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| author | Chong-Man Cho |
| author_facet | Chong-Man Cho |
| author_sort | Chong-Man Cho |
| collection | DOAJ |
| description | Suppose X and Y are reflexive Banach spaces. If K(X,Y), the space of all compact linear operaters from X to Y is an M-ideal in L(X,Y), the space of all bounded linear operators from X to Y, then the second dual space K(X,Y)** of K(X,Y) is isometrically isomorphic to L(X,Y). |
| format | Article |
| id | doaj-art-50e5ea6d95824d508f3c701fd3c4ccdf |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-50e5ea6d95824d508f3c701fd3c4ccdf2025-02-03T01:09:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115361761910.1155/S0161171292000802Spaces of compact operators which are M-ideals in L(X,Y)Chong-Man Cho0Hanyang University, Seoul 133-791, KoreaSuppose X and Y are reflexive Banach spaces. If K(X,Y), the space of all compact linear operaters from X to Y is an M-ideal in L(X,Y), the space of all bounded linear operators from X to Y, then the second dual space K(X,Y)** of K(X,Y) is isometrically isomorphic to L(X,Y).http://dx.doi.org/10.1155/S0161171292000802compact operatorsM-idealdual spaceprojective tensor product. |
| spellingShingle | Chong-Man Cho Spaces of compact operators which are M-ideals in L(X,Y) International Journal of Mathematics and Mathematical Sciences compact operators M-ideal dual space projective tensor product. |
| title | Spaces of compact operators which are M-ideals in L(X,Y) |
| title_full | Spaces of compact operators which are M-ideals in L(X,Y) |
| title_fullStr | Spaces of compact operators which are M-ideals in L(X,Y) |
| title_full_unstemmed | Spaces of compact operators which are M-ideals in L(X,Y) |
| title_short | Spaces of compact operators which are M-ideals in L(X,Y) |
| title_sort | spaces of compact operators which are m ideals in l x y |
| topic | compact operators M-ideal dual space projective tensor product. |
| url | http://dx.doi.org/10.1155/S0161171292000802 |
| work_keys_str_mv | AT chongmancho spacesofcompactoperatorswhicharemidealsinlxy |