Titlebook: Algebraic Methods in Operator Theory; Raúl E. Curto,Palle E. T. Jørgensen Conference proceedings 1994 Springer Science+Business Media New

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m mechanics; of spectral theory and partial differential equations; of the modern global approach to topology and geometry; of representation theory and harmonic analysis; and of dynamical systems and mathematical physics. The present collection of papers represents contributions to a conference, an

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Motivations for deep-space travel,P. (The preceding results are, in fact, obtained for CSL- subalgebras of factor von Neumann algebras.) Finally, we give an example of a CSL which has the UFP, even though it is not a direct sum of a complemented lattice and a CSL with the property that every linearly ordered sublattice is countable.

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The Universal Factorization Property for Commutative Subspace LatticesP. (The preceding results are, in fact, obtained for CSL- subalgebras of factor von Neumann algebras.) Finally, we give an example of a CSL which has the UFP, even though it is not a direct sum of a complemented lattice and a CSL with the property that every linearly ordered sublattice is countable.

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Motivations for deep-space travel, with possible poles of order two at two points, and continuous trace. Conditions for the semisimplicity of the algebra are given, as well as a formula for the computation of the spectral radii of its elements.

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The incredible shrinking spaceprobe,ections is the unit of the C*-algebra (if there is one), and, finally, the K.-class of the resolvent of the element over each bounded component of the complement of the spectrum. (In the case of a self-adjoint element the last invariant is trivial, and in the case of a unitary element it is the K.-class of the unitary itself.)

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Berezin-Toeplitz Quantizationrs. Then joined by K. H. Zhu and D. Békollé, we settled the corresponding problem for Berezin—Toeplitz operators on bounded symmetric domains Ω in ℂ. [BCZ., BCZ., BBCZ]. Roughly speaking, to admit a good Berezin—Toeplitz symbol calculus, the symbols must satisfy a “vanishing mean oscillation” condition. On ℂ., exp.is . while exp. is ..