Semigroups of linear operators: An introduction

1989 ◽  
Vol 17 (2) ◽  
pp. 195-197 ◽  
Keyword(s):  
Linear Operators ◽  
Semigroups Of Linear Operators

scholarly journals Montel resolvents and uniformly mean ergodic semigroups of linear operators

2013 ◽  
Vol 36 (2) ◽  
pp. 253-290 ◽  
Author(s):  
Angela A. Albanese ◽  
José Bonet ◽  
Werner J. Ricker
Keyword(s):  
Linear Operators ◽  
Semigroups Of Linear Operators

scholarly journals C0-semigroups of linear operators on some ultrametric Banach spaces

2006 ◽  
Vol 2006 ◽  
pp. 1-9 ◽  
Author(s):  
Toka Diagana
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Crucial Role ◽  
Evolution Equations ◽  
Linear Operators ◽  
Ground Field ◽  
Semigroups Of Linear Operators ◽  
Classical Setting

C0-semigroups of linear operators play a crucial role in the solvability of evolution equations in the classical context. This paper is concerned with a brief conceptualization ofC0-semigroups on (ultrametric) free Banach spacesE. In contrast with the classical setting, the parameter of a givenC0-semigroup belongs to a clopen ballΩrof the ground fieldK. As an illustration, we will discuss the solvability of some homogeneousp-adic differential equations.

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