Davis-Wielandt shells of semi-Hilbertian space operators and its applications

DOI10.1007/s43037-020-00063-0OpenAlexW3013201809MaRDI QIDQ778783

Kais Feki, Ould Ahmed Mahmoud Sid Ahmed

Publication date: 20 July 2020

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04184

zbMATH Keywords

semi-inner productnumerical radiusnormaloid operatorDavis-Wielandt radiusDavis-Wielandt shellsnorm-parallelism

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Numerical range, numerical radius (47A12) Positive linear operators and order-bounded operators (47B65)

Related Items (16)

Some \(\mathbb{A}\)-numerical radius inequalities for \(d\times d\) operator matrices ⋮ Some \(A\)-spectral radius inequalities for \(A\)-bounded Hilbert space operators ⋮ On the Davis-Wielandt shell of an operator and the Davis-Wielandt index of a normed linear space ⋮ \(A\)-numerical radius orthogonality and parallelism of semi-Hilbertian space operators and their applications ⋮ Improved inequalities related to the AA-numerical radius for commutators of operators ⋮ Davis-Wielandt radius inequalities for off-diagonal operator matrices ⋮ Generalized \(A\)-numerical radius of operators and related inequalities ⋮ On the Davis–Wielandt radius inequalities of Hilbert space operators ⋮ On some inequalities for the generalized joint numerical radius of semi-Hilbert space operators ⋮ Some upper bounds for the \(\mathbb{A} \)-numerical radius of \(2\times 2\) block matrices ⋮ Generalized numerical radius inequalities of operators in Hilbert spaces ⋮ Bounds for the Davis-Wielandt radius of bounded linear operators ⋮ On \(A\)-parallelism and \(A\)-Birkhoff-James orthogonality of operators ⋮ Some bounds for the $\mathbb{A}$-numerical radius of certain $2 \times 2$ operator matrices ⋮ New inequalities for Davis-Wielandt radius of Hilbert space operators ⋮ On generalized Davis-Wielandt radius inequalities of semi-Hilbertian space operators

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