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THE INVERSE OF OPERATOR MATRIX A WHERE A≥I | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 51, Issue 1, 2010, Pages 154-158 | ||
| Author | ||
| Mohammed Saleh Balasim | ||
| Abstract | ||
| Let H and K be Hilbert spaces and let H K be the cartesian product of them.Let B(H),B(K),B(H K),B(K,H),B(H,K) be the Banach spaces of bounded(continuous) operators on H,K,H K,and from K into H and from H into K respectively. In this paper we find the inverse of operator matrix B(H K) where B B(H) ,C B(K,H), D B(H,K), E B(K) and A≥ where is the identity operator on H K. | ||
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