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Titlebook: Semigroups of Operators: Theory and Applications; International Confer A. V. Balakrishnan Conference proceedings 2000 Birkhäuser Verlag Bas

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Semigroup Theory and Operator Trigonometry,erator semigroup theory over 30 years ago, will be traced. This operator trigonometry, largely a creation of this author, features a notion of antieigen-value which corresponds to the largest turning angle of an operator. As such, it constitutes an extension of the Rayleigh-Ritz theory, to now inclu
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Invariant Subspaces and Quasiaffine Transforms of Unitary Operators,t subspace”. This turns out to be equivalent to a second conjecture, namely, “if a contraction is a quasiaffine transform of a unitary operator, then it has a nontrivial invariant subspace”. Although these are still unsolved problems, it can be proved that ... -.. This paper presents a brief review,
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On ,,-Theory of ,,-Semigroups Generated by Elliptic Second Order Differential Expressions,nstructing corresponding . .-semigroups. Lower order terms are considered as form-bounded perturbations of the generator of the symmetric Markov semi-group associated with the Dirichlet form. It is shown that the . .-semigroup corresponding to the Cauchy problem exists in a certain interval in the s
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On Dirac Observables,ind an observable A. ∈ . “close” to A, perhaps only for a given physical state .. Energy . belongs to ., but location (angular) momentum, spin,…, do not. This seems to explain at a glance the triumphs and difficulties Dirac’s theory encountered.
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