Birkhoff–James Orthogonality and the Zeros of an Analytic Function
Sign Up to like & getrecommendations! Published in 2017 at "Computational Methods and Function Theory"
DOI: 10.1007/s40315-017-0191-5
Abstract: Bounds are obtained for the zeros of an analytic function on a disk in terms of the Taylor coefficients of the function. These results are derived using the notion of Birkhoff–James orthogonality in the sequence… read more here.
Keywords: zeros analytic; analytic function; birkhoff james; function ... See more keywords
A study of orthogonality of bounded linear operators
Sign Up to like & getrecommendations! Published in 2020 at "Banach Journal of Mathematical Analysis"
DOI: 10.1007/s43037-019-00050-0
Abstract: We study Birkhoff-James orthogonality and isosceles orthogonality of bounded linear operators between Hilbert spaces and Banach spaces. We explore Birkhoff-James orthogonality of bounded linear operators in light of a new notion introduced by us and… read more here.
Keywords: linear operators; bounded linear; orthogonality bounded; birkhoff james ... See more keywords
Modular Birkhoff–James orthogonality in $$B({\mathbb {X}},{\mathbb {Y}})$$ and $$K({\mathbb {X}},{\mathbb {Y}})$$
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DOI: 10.1007/s43037-020-00064-z
Abstract: We introduce and study modular Birkhoff–James orthogonality for typical Banach modules $$B({\mathbb {X}},{\mathbb {Y}})$$ and $$K({\mathbb {X}},{\mathbb {Y}}),$$ where $${\mathbb {X}}$$ and $${\mathbb {Y}}$$ are Banach spaces. We present some basic characterizations of modular Birkhoff–James… read more here.
Keywords: james orthogonality; mathbb mathbb; modular birkhoff; mathbb ... See more keywords
The Birkhoff-James orthogonality of operators on infinite dimensional Banach spaces
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DOI: 10.1016/j.laa.2019.08.012
Abstract: Abstract We study the Birkhoff-James orthogonality on operator spaces in terms of the Bhatia-Semrl property. We first prove that every functional on a Banach space X has the Bhatia-Semrl property if and only if X… read more here.
Keywords: semrl property; bhatia semrl; birkhoff james; james orthogonality ... See more keywords
Operators Birkhoff–James Orthogonal to Spaces of Operators
Sign Up to like & getrecommendations! Published in 2021 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2021.1952429
Abstract: Abstract Let be the space of bounded linear operators between real Banach spaces X, Y. For a closed subspace we partially solve the operator version of Birkhoff–James orthogonality problem, if is orthogonal to when does… read more here.
Keywords: orthogonal spaces; spaces operators; optimization; operators birkhoff ... See more keywords