C 0-groups andC 0-semigroups of linear operators on hereditarily indecomposable Banach spaces

1996 ◽  
Vol 66 (1) ◽  
pp. 60-70 ◽  
Author(s):  
F. R�biger ◽  
W. J. Ricker
Author(s):  
Toka Diagana

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.


2004 ◽  
Vol 126 (1-3) ◽  
pp. 293-299 ◽  
Author(s):  
Tadeusz Figiel ◽  
Ryszard Frankiewicz ◽  
Ryszard Komorowski ◽  
Czesław Ryll-Nardzewski

1993 ◽  
Vol 180 (2) ◽  
pp. 386-397
Author(s):  
N. Tanaka ◽  
S. Toriumi ◽  
I. Miyadera

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