Double operator integral methods applied to continuity of spectral shift functions
نویسندگان
چکیده
منابع مشابه
Classes of admissible functions associated with certain integral operators applied to meromorphic functions
In the present paper, by making use of the differential subordination and superordination results of Miller and Mocanu, certain classes of admissible functions are determined so that subordination as well as superordination implications of functions associated with an integral operator hold. Additionally, differential sandwich-type result is obtained.
متن کاملThe Spectral Shift Operator
We introduce the concept of a spectral shift operator and use it to derive Krein's spectral shift function for pairs of self-adjoint operators. Our principal tools are operator-valued Herglotz functions and their logarithms. Applications to Krein's trace formula and to the Birman-Solomyak spectral averaging formula are discussed.
متن کاملProperties of multivalent functions associated with certain integral operator
Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.
متن کاملclasses of admissible functions associated with certain integral operators applied to meromorphic functions
in the present paper, by making use of the differential subordination and superordination results of miller and mocanu, certain classes of admissible functions are determined so that subordination as well as superordination implications of functions associated with an integral operator hold. additionally, differential sandwich-type result is obtained.
متن کاملSome Applications of the Spectral Shift Operator
The recently introduced concept of a spectral shift operator is applied in several instances. Explicit applications include Krein's trace formula for pairs of self-adjoint operators, the Birman-Solomyak spectral averaging formula and its operator-valued extension, and an abstract approach to trace formulas based on perturbation theory and the theory of self-adjoint extensions of symmetric opera...
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ژورنال
عنوان ژورنال: Journal of Spectral Theory
سال: 2016
ISSN: 1664-039X
DOI: 10.4171/jst/140