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Book Cover
Author Doran, Robert S

Title Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory
Published Providence : American Mathematical Society, 1991
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Description 1 online resource (242 pages)
Series Contemporary Mathematics ; v. 120
Contemporary Mathematics
Contents Preface -- Conference participants -- C*-algebras associated to two-step nilpotent groups -- Some applications of a recent characterization of operator algebras -- Problems in multivariable operator theory -- The Taylor spectrum of infinite direct sums -- Operator algebras and differential topology -- Operator algebras with arbitrary Hochschild cohomology -- Representation of symplectic vector spaces obtained as unitary dilations -- 1. Introduction -- 2. Infinite-Dimensional Systems -- 3. Central Extensions -- 4. The Fock Representation -- 5. Deficiency Spaces for Polarization
6. Proof of the Theorem (Outline) -- 7. Concluding Remarks: Riemann Surfaces -- 8. References -- Imprimitivity systems associated to regions in Rn, connections between geometry and spectrum, a sample of problems -- Triangular algebras -- another chapter -- Decomposability of operators relative to two subspaces -- The equation Tx = y in nest algebras -- Some questions concerning nest algebras -- Some problems on triangular and semi-triangular operators -- Two problems on almost diagonalization of normal operators -- Spatial implementation of lattice isomorphisms
Duality for actions and coactions of measured groupoids on von Neumann algebras -- Cyclic cohomology and the index theory of transversely elliptic operators -- Ideals of generalized Calkin algebras -- Problems on C*-algebras of real rank zero and their multiplier algebras -- A collection of problems on operator algebras -- The Texas Groupoid in King Robert's Court
Intrinsic isomorphism invariants for some triangular operator algebras -- Some operator-algebraic aspects of the theory of infinite graphs -- On analytic subalgebras of UHF algebras -- Five problems on operator algebras -- Analytic triangular algebras with integer valued cocycle -- Fourier-Stieltjes algebras of locally compact groupoids -- On the preduals of dual algebras and their tensor products -- An introduction to Toeplitz operators associated with analytic crossed products -- Distance formula and contractive projections -- Constructions of extreme n-positive linear maps
Notes Print version record
Genre/Form Electronic books.
Form Electronic book
ISBN 0821877089