Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces
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| Natura: | Artículo científico |
| Lingua: | en |
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Academia Brasileira de Ciências
2005
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| _version_ | 1876440013659439104 |
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| author | Paolo Piccione |
| author_facet | Paolo Piccione |
| contents | Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces Paolo Piccione Daniel V. Tausk Multidisciplinaria (Ciencias Naturales y Exactas) unbounded self spectral theorem adjoint operators Lagrangian subspaces Lagrangian Grassmannian We prove that any countable family of Lagrangian subspaces of a symplectic Hilbert space admitsa common complementary Lagrangian. The proof of this puzzling result, which is not totallyelementary also in thefinite dimensional case, is obtained as an application of the spectral theoremfor unbounded self-adjoint operators. 2005 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32777402 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.77 |
| format | Artículo científico |
| id | redalyc_32777402 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces Paolo Piccione Multidisciplinaria (Ciencias Naturales y Exactas) unbounded self spectral theorem adjoint operators Lagrangian subspaces Lagrangian Grassmannian Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces Paolo Piccione Daniel V. Tausk Multidisciplinaria (Ciencias Naturales y Exactas) unbounded self spectral theorem adjoint operators Lagrangian subspaces Lagrangian Grassmannian We prove that any countable family of Lagrangian subspaces of a symplectic Hilbert space admitsa common complementary Lagrangian. The proof of this puzzling result, which is not totallyelementary also in thefinite dimensional case, is obtained as an application of the spectral theoremfor unbounded self-adjoint operators. 2005 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32777402 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.77 |
| title | Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) unbounded self spectral theorem adjoint operators Lagrangian subspaces Lagrangian Grassmannian |
| url | https://www.redalyc.org/articulo.oa?id=32777402 |