Contraction semigroups of linear operators on Banach spaces

1965 ◽  
pp. 19-46
Author(s):  
E. B. Dynkin
Keyword(s):  
Banach Spaces ◽  
Linear Operators ◽  
Semigroups Of Linear Operators ◽  
Contraction Semigroups

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.

scholarly journals Adjoints of Semigroups of Linear Operators in Banach Spaces

1993 ◽  
Vol 180 (2) ◽  
pp. 386-397
Author(s):  
N. Tanaka ◽  
S. Toriumi ◽  
I. Miyadera
Keyword(s):  
Banach Spaces ◽  
Linear Operators ◽  
Semigroups Of Linear Operators

scholarly journals Mean ergodic theorem for semigroups of linear operators in multi-Banach spaces

2014 ◽  
Vol 2014 (1) ◽  
pp. 402 ◽  
Author(s):  
Hassan Kenari ◽  
Reza Saadati ◽  
Mahdi Azhini ◽  
Yeol Cho
Keyword(s):  
Banach Spaces ◽  
Ergodic Theorem ◽  
Linear Operators ◽  
Semigroups Of Linear Operators ◽  
Mean Ergodic Theorem

Linear Operators in Banach Spaces

2018 ◽  
Author(s):  
D. E. Edmunds ◽  
W. D. Evans
Keyword(s):  
Banach Spaces ◽  
Linear Operators ◽  
Fredholm Maps

Three main themes run through this chapter: compact linear operators, measures of non-compactness, and Fredholm and semi-Fredholm maps. Connections are established between these themes so as to derive important results later in the book.

scholarly journals Sets of periods for chaotic linear operators

2021 ◽  
Vol 115 (2) ◽  
Author(s):  
J. A. Conejero ◽  
F. Martínez-Giménez ◽  
A. Peris ◽  
F. Rodenas
Keyword(s):  
Banach Spaces ◽  
Hilbert Spaces ◽  
Complete Characterization ◽  
Linear Operators

AbstractWe provide a complete characterization of the possible sets of periods for Devaney chaotic linear operators on Hilbert spaces. As a consequence, we also derive this characterization for linearizable maps on Banach spaces.

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