On the Invertibility of the Sum of Operators
Sign Up to like & getrecommendations! Published in 2018 at "Analysis Mathematica"
DOI: 10.1007/s10476-020-0022-1
Abstract: The primary purpose of this paper is to investigate the question of the invertibility of the sum of operators in the bounded and unbounded setting. Some interesting examples and consequences are given. As an illustrative… read more here.
Keywords: sum operators; invertibility sum;
On Li–Yorke and distributionally chaotic direct sum operators
Sign Up to like & getrecommendations! Published in 2018 at "Topology and its Applications"
DOI: 10.1016/j.topol.2018.02.012
Abstract: Abstract In this paper, sufficient conditions for the direct sum of countable linear operators on Banach spaces to be Li–Yorke chaotic (distributionally chaotic) are presented. These conditions enable us to construct a densely distributionally chaotic… read more here.
Keywords: chaotic direct; direct sum; distributionally chaotic; sum operators ... See more keywords