Fock space techniques in tensor algebras of directed graphs
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Publication:2270577
DOI10.1216/RMJ-2009-39-4-1089zbMath1205.47009MaRDI QIDQ2270577
Publication date: 28 July 2009
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Abstract operator algebras on Hilbert spaces (47L30) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20)
Cites Work
- Hardy algebras, \(W^*\)-correspondences and interpolation theory
- Isomorphisms of algebras associated with directed graphs
- On intertwining dilations for sequences of noncommuting operators
- Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes
- Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
- Poisson transforms on some \(C^*\)-algebras generated by isometries
- The algebraic structure of non-commutative analytic Toeplitz algebras
- For which reproducing kernel Hilbert spaces is Pick's theorem true!
- Multi-analytic operators on Fock spaces
- Noncommutative interpolation and Poisson transforms
- Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
- Tensor Algebras, Induced Representations, and the Wold Decomposition
- The Toeplitz algebra of a Hilbert bimodule
- Applications of the Wold decomposition to the study of row contractions associated with directed graphs
- Partially isometric dilations of noncommuting 𝑁-tuples of operators
- Categories of operator modules (Morita equivalence and projective modules)
- Generalized Interpolation in H ∞
- Inner Product Modules Over B ∗ -Algebras
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