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DYNAMICS OF SHIFT OPERATORS
, 2012
"... In this article, some dynamical properties of unilateral backward weighed shift operators are considered. We obtain the complete classification for shift operators with constant weight in the sense of topologically conjugacy. Sensitivity and LiYorke chaos are also considered. We prove that they ar ..."
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In this article, some dynamical properties of unilateral backward weighed shift operators are considered. We obtain the complete classification for shift operators with constant weight in the sense of topologically conjugacy. Sensitivity and LiYorke chaos are also considered. We prove
The spectral shift operator
 IN MATHEMATICAL RESULTS IN QUANTUM MECHANICS
, 1999
"... We introduce the concept of a spectral shift operator and use it to derive Krein’s spectral shift function for pairs of selfadjoint operators. Our principal tools are operatorvalued Herglotz functions and their logarithms. Applications to Krein’s trace formula and to the BirmanSolomyak spectral ..."
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Cited by 15 (7 self)
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We introduce the concept of a spectral shift operator and use it to derive Krein’s spectral shift function for pairs of selfadjoint operators. Our principal tools are operatorvalued Herglotz functions and their logarithms. Applications to Krein’s trace formula and to the BirmanSolomyak spectral
Shift Operators and Complex Systems
"... Abstract: In a previous paper (14), some of the authors dealt with the use of automata with (various type of) multiplicities for modelizing agents with rational behaviour and how one could perform genetic operations on them. In this paper, we emphasize the role played by shift operators to identif ..."
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Abstract: In a previous paper (14), some of the authors dealt with the use of automata with (various type of) multiplicities for modelizing agents with rational behaviour and how one could perform genetic operations on them. In this paper, we emphasize the role played by shift operators
Perfects as Feature Shifting Operators
, 2013
"... [Temporary insert This ms. was started as a paper, but then it grew to its current length an even now it isn’t quite finished. What follows are a few words describing the project and its origins and a makeshift table of contents, in the hope that this will provide some minimal orientation to anybody ..."
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to anybody who wants to look into this in its present state. The original purpose of what follows was to deal with a problem that arises for ‘pure result state ’ accounts of the perfect, which treat perfects as operators that transform event and state descriptions into descriptions of corresponding result
Ktheory for operator algebras
 Mathematical Sciences Research Institute Publications
, 1998
"... p. XII line5: since p. 12: I blew this simple formula: should be α = −〈ξ, η〉/〈η, η〉. p. 2 I.1.1.4: The RieszFischer Theorem is often stated this way today, but neither Riesz nor Fischer (who worked independently) phrased it in terms of completeness of the orthogonal system {e int}. If [a, b] is a ..."
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Cited by 558 (0 self)
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space is not σfinite. p. 13: add after I.2.6.16: I.2.6.17. If X is a compact subset of C not containing 0, and k ∈ N, there is in general no bound on the norm of T −1 as T ranges over all operators with ‖T ‖ ≤ k and σ(T) ⊆ X. For example, let Sn ∈ L(l 2) be the truncated shift: Sn(α1, α2,...) = (0
The Askeyscheme of hypergeometric orthogonal polynomials and its qanalogue
, 1998
"... We list the socalled Askeyscheme of hypergeometric orthogonal polynomials and we give a qanalogue of this scheme containing basic hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation, the second order differenti ..."
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Cited by 578 (6 self)
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differential or difference equation, the forward and backward shift operator, the Rodriguestype formula and generating functions of all classes of orthogonal polynomials in this scheme. In chapter 2 we give the limit relations between different classes of orthogonal polynomials listed in the Askey
SOME APPLICATIONS OF THE SPECTRAL SHIFT OPERATOR
, 1999
"... The recently introduced concept of a spectral shift operator is applied in several instances. Explicit applications include Krein’s trace formula for pairs of selfadjoint operators, the BirmanSolomyak spectral averaging formula and its operatorvalued extension, and an abstract approach to trace f ..."
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Cited by 3 (0 self)
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The recently introduced concept of a spectral shift operator is applied in several instances. Explicit applications include Krein’s trace formula for pairs of selfadjoint operators, the BirmanSolomyak spectral averaging formula and its operatorvalued extension, and an abstract approach to trace
Theorem of Coincidence of Classes for a Generalised Shift Operator
"... Abstract. In this paper, for a generalised shift operator introduced earlier, we prove theorem of coincidence of classes of functions defined by the order of best approximation by algebraical polynomials and the generalised Lipschitz classes defined by the generalised shift operator. ..."
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Abstract. In this paper, for a generalised shift operator introduced earlier, we prove theorem of coincidence of classes of functions defined by the order of best approximation by algebraical polynomials and the generalised Lipschitz classes defined by the generalised shift operator.
ON THE LOCAL SPECTRAL PROPERTIES OF WEIGHTED SHIFT OPERATORS
, 2003
"... Abstract. In this paper, we study the local spectral properties for both unilateral and bilateral weighted shift operators. 1. ..."
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Abstract. In this paper, we study the local spectral properties for both unilateral and bilateral weighted shift operators. 1.
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