Quantum Algebras and Operator Theory
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: closed (30 November 2021) | Viewed by 8065
Special Issue Editor
Interests: operator inequalities; improvements, interpolations and generalizations of general inequalities as well as the applications in functional analysis; norm inequalities; eigenvalue and singularvalue inequalities; quasi-arithmetic operator means; convex function; the various types of convexities
Special Issue Information
Dear Colleagues,
One of the main purposes of research in functional analysis is the theory of inequalities and its integration in contemporary trends in mathematics. The specific objectives are the study of matrix and operator interpretations of real inequalities in various settings, including operator inequalities, norm inequalities, eigenvalue and singular value inequalities, the corresponding refinements and reverses, as well as applications in functional analysis.
It has made significant contributions to science in the theory of inequalities through improvements, interpolations, generalizations of general inequalities, like the Hardy, Hölder, Čebišev, Levinson, and Sherman inequality, the inequalities for means (especially for their converse inequalities), Jensen, and other inequalities for operator convex functions, Cauchy, Kantorovič, Opial, Hilbert, and Grüss inequality, inequalities in n-normalized spaces, integral inequalities, and more.
The notion of convexity is widely spread in almost all branches of mathematics, even in some models in economics, finance, mechanics, and engineering. One of the main goals of the research is the systematic development of the existing theory of convex functions, related generalizations, and applications to operator inequalities. Particular emphasis in the research is placed on the various types of convexities.
Prof. Jadranka Micic
Guest Editor
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Keywords
- operator inequalities
- matrix inequalities
- quasi-arithmetic operator means
- norm inequalities
- eigenvalue and singularvalue inequalities
- convex function
- types of convexities
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