Domains of accretive operators in Banach spaces

6533b831fe1ef96bd12983b7

RESEARCH PRODUCT

Domains of accretive operators in Banach spaces

Simeon Reich Omar Muñiz-pérez Jesús Garcia-falset

subject

Discrete mathematics Approximation property General Mathematics 010102 general mathematics Banach space Closure (topology)Finite-rank operator Resolvent formalism 01 natural sciences Domain (mathematical analysis)010101 applied mathematics Operator (computer programming)0101 mathematics C0-semigroup Mathematics

description

LetD(A)be the domain of anm-accretive operatorAon a Banach spaceE. We provide sufficient conditions for the closure ofD(A)to be convex and forD(A)to coincide withEitself. Several related results and pertinent examples are also included.

year	journal	country	edition	language
2016-01-07	Proceedings of the Royal Society of Edinburgh: Section A Mathematics

https://doi.org/10.1017/s0308210515000451

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