Advances in Operator Theory and Nonlinear Evolution Equations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C: Mathematical Analysis".
Deadline for manuscript submissions: 30 June 2026 | Viewed by 12
Special Issue Editor
Special Issue Information
Dear Colleagues,
Recent progress in abstract operator theory is shown with respect to real and complex analysis. Although discussion is basically developed in the abstract Banach spaces framework, more concrete mathematical spaces such as Besov spaces are employed in some cases.
Among others, much attention is paid on the abstract operator theory applied to the nonlinear evolution equations, where the formation of certain kinds of nonlinear semigroups and its profiling is one of the key issues. Consequently, from an operator algebraic point of view, the sub- and super-algebraic structures of Banach algebra is found. For accomplishing the classification of generally unbounded operator, the integral representations of operators in the complex plane are effectively used, so that those concepts are explained.
Dr. Yoritaka Iwata
Guest Editor
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Keywords
- operator theory
- nonlinear semigroup
- operator algebra
- Riesz-Dunford integral
- resolvent approximation
- logarithmic representation
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