Search results for " operators"
showing 10 items of 218 documents
Yet Another New Variant of Szász–Mirakyan Operator
2021
In this paper, we construct a new variant of the classical Szász–Mirakyan operators, Mn, which fixes the functions 1 and eax,x≥0,a∈R. For these operators, we provide a quantitative Voronovskaya-type result. The uniform weighted convergence of Mn and a direct quantitative estimate are obtained. The symmetry of the properties of the classical Szász–Mirakyan operator and of the properties of the new sequence is investigated. Our results improve and extend similar ones on this topic, established in the last decade by many authors.
Book Review: Approximation with Positive Linear Operators and Linear Combinations By: Vijay Gupta, Gancho Tachev Series: Developments in Mathematics,…
2020
Non-Hermitian Hamiltonians in Quantum Physics
2016
This volume collects the selected contributions presented at or inspired by the15th International Workshop on Pseuso-Hermitian Hamiltonians in QuantumPhysics(PHHQP15), held in Palermo, Italy, from May 18 to 23, 2015. Thisworkshop was the 15th in the series of international meetings that was started in2003. These meetings were mainly attended by mathematicians and physicistsinterested in the study of non-Hermitian operators and Hamiltonians, and in theirphysical applications. About 80 mathematicians and physicists attended the 2015Workshop in Palermo.
MR2903153 Roch, Steffen; Santos, Pedro A. Two points, one limit: homogenization techniques for two-point local algebras. J. Math. Anal. Appl. 391 (20…
2013
Perturbations of polaroid type operators on Banach spaces and Applications
2011
We study the permanence of polaroid type conditions under perturbations
Operator (Quasi-)Similarity, Quasi-Hermitian Operators and All that
2016
Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure generated by unbounded metric operators in a Hilbert space. To that effect, we consider the notions of similarity and quasi-similarity between operators and explore to what extent they preserve spectral properties. Then we study quasi-Hermitian operators, bounded or not, that is, operators that are quasisimilar to their adjoint and we discuss their application in pseudo-Hermitian quantum mechanics. Finally, we extend the analysis to operators in a partial inner product space (PIP-space), in particular the scale of Hilbert spaces generated by a single unbounded metric operator.
Some remarks on quasi-Hermitian operators
2014
A quasi-Hermitian operator is an operator that is similar to its adjoint in some sense, via a metric operator, i.e., a strictly positive self-adjoint operator.Whereas those metric operators are in general assumed to be bounded, we analyze the structure generated by unbounded metric operators in a Hilbert space. Following our previous work, we introduce several generalizations of the notion of similarity between operators. Then we explore systematically the various types of quasi-Hermitian operators, bounded or not. Finally, we discuss their application in the so-called pseudo-Hermitian quantum mechanics.
MR2806473 (2012f:47002) Hirasawa, Go(J-IBARE) A metric for unbounded linear operators in a Hilbert space. (English summary) Integral Equations Operat…
2012
A Lebesgue-type decomposition on one side for sesquilinear forms
2021
Sesquilinear forms which are not necessarily positive may have a dierent behavior, with respect to a positive form, on each side. For this reason a Lebesgue-type decomposition on one side is provided for generic forms satisfying a boundedness condition.
The PROVIDE Traning Courses for proximity violence' professionals
2020
The chapter describes a prototype of training course for "Expert operators in proximity violence" focusing on asylum-seeking migrant women victims of violence and implemented in three European States. In particular it defines: the rationale of training by modules in adapting individual abilities of professionals of migrazion field to the professional goals to be achieved (1), the methodological implementation of the PROVIDE courses (2) and the significance of the experiential seminars conducted (3).