\(C^*\)-algebras generated by orthogonal projections and their applications

DOI10.1007/BF01203459zbMath0899.46046OpenAlexW2276883956MaRDI QIDQ1388152

Nikolai L. Vasilevski

Publication date: 3 November 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01203459

zbMATH Keywords

Heisenberg groupToeplitz operatorsNaimark dilation theorems

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Classifications of (C^*)-algebras (46L35)

Related Items (8)

Von Neumann algebras generated by two unitary operators \(u\) and \(v\) with \(u^{2}=v^{3}=1\) ⋮ On functions on graphs and representations of a certain class of *-algebras. ⋮ \(C^\ast\)-algebras of Bergman type operators with piecewise constant coefficients over sectors ⋮ On compactness of commutators and semi-commutators of Toeplitz operators on the Bergman space ⋮ Distributions of eigenvalues and inertias of some block Hermitian matrices consisting of orthogonal projectors ⋮ Operator algebras related to the Bochner–Martinelli integral ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ On Bergman-Toeplitz operators with commutative symbol algebras

Cites Work

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• Group convolution operators on standard CR-manifolds. I: Structural properties
• Convolution operators on standard CR-manifolds. II: Algebras of convolution operators on the Heisenberg group
• Algebras of singular integral operators generated by three orthogonal projections
• Algebra generated by one-dimensional singular integral operators with piecewise continuous coefficients
• Generators of the Ring of Bounded Operators
• N Subspaces
• A Simple C^*-Algebra Generated by Two Finite-Order Unitaries
• FREE-PRODUCT GROUPS, CUNTZ-KRIEGER ALGEBRAS, AND COVARIANT MAPS
• Local Toeplitz Operators
• Measure Theory for $C^*$ Algebras.
• Two Subspaces

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