Representation of contractively complemented Hilbertian operator spaces on the Fock space
Copyright policy )Representation of contractively complemented Hilbertian operator spaces on the Fock space
The operator spaces H n k H_n^k , 1 ≤ k ≤ n 1\le k\le n , generalizing the row and column Hilbert spaces, and arising in the authors’ previous study of contractively complemented subspaces of C ∗ C^* -algebras, are shown to be homogeneous and completely isometric to a space of creation operators on a subspace of the anti-symmetric Fock space. The completely bounded Banach-Mazur distance from H n k H_n^k to a row or column space is explicitly calculated.
- University of California, San Francisco United States
- University of California, Irvine United States
- Denison University United States
completely bounded Banach-Mazur distance, Jordan structures on Banach spaces and algebras, operator spaces, creation operator, Mathematics - Operator Algebras, Hilbertian operator space, 46L07, Pure Mathematics, Functional Analysis (math.FA), contractive projections, Mathematics - Functional Analysis, General theory of \(C^*\)-algebras, contractive projection, anti-symmetric Fock space, Operator spaces (= matricially normed spaces), \(C^*\)-algebras, FOS: Mathematics, Operator spaces and completely bounded maps, \(JB^*\)-triples, Fock spaces, homogeneous operator space, Nonassociative selfadjoint operator algebras, Operator Algebras (math.OA)
completely bounded Banach-Mazur distance, Jordan structures on Banach spaces and algebras, operator spaces, creation operator, Mathematics - Operator Algebras, Hilbertian operator space, 46L07, Pure Mathematics, Functional Analysis (math.FA), contractive projections, Mathematics - Functional Analysis, General theory of \(C^*\)-algebras, contractive projection, anti-symmetric Fock space, Operator spaces (= matricially normed spaces), \(C^*\)-algebras, FOS: Mathematics, Operator spaces and completely bounded maps, \(JB^*\)-triples, Fock spaces, homogeneous operator space, Nonassociative selfadjoint operator algebras, Operator Algebras (math.OA)
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