On the continuity of the map square root of nonnegative isomorphisms in Hilbert spaces
Let H be a real (or complex) Hilbert space. Every nonnegative operator L ∈ L ( H ) admits a unique nonnegative square root R ∈ L ( H ) , i.e., a nonnegative operator R ∈ L ( H ) such that R 2 = L . Let GL + S ( H ) be the set of nonnegative isomorphisms in L ( H ) . First we will show that GL + S (...
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| Publié dans: | Revista Integración |
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| Auteur principal: | |
| Format: | Artigo |
| Langue: | Inglês |
| Publié: |
Universidad Industrial de Santander
2015
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| Sujets: | |
| Accès en ligne: | https://www.redalyc.org/articulo.oa?id=327038640002 |
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