Titlebook: Anniversary Volume on Approximation Theory and Functional Analysis; P. L. Butzer,R. L. Stens,B. Sz.-Nagy Book 1984 Springer Basel AG 1984

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Educational Institutions in Horror Filmity. The fact is that I do not feel like an elder citizen and am still somewhat shy in the company of my betters. Nevertheless I have been a mathematician for over forty years and some recollections of my early experiences may therefore be of interest.

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Stephen P. Keeler,Thomas A. Grandiner factorization T = UP, U unitary, and satisfying the condition that T*T and TT* commute, if and only if P ≧ 0 and σ.(P) contains at least two points, 0 is not in σ.(P), and, whenever σ.(P) is not empty, neither sup σ.(P) nor inf σ.(P) belongs to σ.(P) with a finite multiplicity.

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Educational Justice and Tentative Hoperacterized. The ultraevanescent part, i.e., the orthocomplement of both (unilateral and modified unilateral) translation parts, is also considered. Finally, conditions on self-duality of isometric semigroups in terms of unilateral, modified unilateral translation and ultraevanescent semigroups are discussed.

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