A characterization of absolutely minimum attaining operators
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.08.034
Abstract: Abstract We study the spectral properties of positive absolutely minimum attaining operators defined on infinite dimensional complex Hilbert spaces and using this we derive a characterization theorem for such type of operators. We construct several… read more here.
Keywords: minimum attaining; characterization absolutely; absolutely minimum; attaining operators ... See more keywords
Some remarks on minimum norm attaining operators
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124492
Abstract: Abstract In this paper we investigate continuous linear operators between Banach spaces which attain their minimum norms on the unit sphere. We characterize finite dimensionality of Banach spaces with the help of minimum norm attainment… read more here.
Keywords: minimum norm; norm attaining; continuous linear; attaining operators ... See more keywords