Results 1 to 10 of about 513 (80)

Further refinements of some numerical radius inequalities for operators

open access: yesOperators and Matrices, 2023
. In this work, we give re fi nements of some well-known numerical radius inequalities. Also, we present an improvement of the triangle inequality for the operator norm. Mathematics subject classi fi cation (2020): 47A12, 47A30, 47B15.
Soumia Soltani, Abdelkader Frakis
semanticscholar   +1 more source

Preservers of the c-numerical radius of operator jordan semi-triple products

open access: yesOperators and Matrices, 2021
Let H be a complex Hilbert space with dimH 3 , let B(H ) be the algebra of all bounded linear operators on H and let Bs(H ) be the real Jordan algebra of all self-adjoint operators in B(H ) . Let A = B(H ) or Bs(H ) .
Y. Zhang, X. Fang
semanticscholar   +1 more source

A Chain of numerical radius inequalities in complex Hilbert space

open access: yesJournal of Mathematical Inequalities, 2021
In this paper, we implement the improvement of numerical radius inequalities that were produced by Alomari MW. [Refinements of some numerical radius inequalities for Hilbert space operators. Linear and Multilinear Algebra.
Mohammed Al-Dolat   +2 more
semanticscholar   +1 more source

Common fixed points for weak commutative mappings on a multiplicative metric space

open access: yesFixed Point Theory and Applications, 2014
In this paper, we discuss the unique common fixed point of two pairs of weak commutative mappings on a complete multiplicative metric space. They satisfy the following inequality: d(Sx,Ty)≤{max{d(Ax,By),d(Ax,Sx),d(By,Ty),d(Sx,By),d(Ax,Ty)}}λ, where A and
Xiaoju He, Meimei Song, D. Chen
semanticscholar   +2 more sources

Cauchy-Schwarz type inequalities and applications to numerical radius inequalities

open access: yes, 2020
We present new improvements of certain Cauchy–Schwarz type inequalities. As applications of the results obtained, we provide refinements of some numerical radius inequalities for Hilbert space operators. It is shown, among other inequalities, that if A ∈
F. Kittaneh, H. Moradi
semanticscholar   +1 more source

New norm equalities and inequalities for certain operator matrices

open access: yes, 2020
We prove new norm equalities and inequalities for general n×n tridiagonal and antitridiagonal operator matrices, including pinching type inequalities for weakly unitarily invariant norms.
Watheq Bani-Domi   +2 more
semanticscholar   +1 more source

Some new operator inequalities

open access: yes, 2020
In this article, we present some new inequalities for positive linear mappings that can be viewed as super multiplicative inequalities. As applications, we deduce some numerical radius inequalities.
M. Sababheh   +2 more
semanticscholar   +1 more source

Operator inequalities via geometric convexity

open access: yesMathematical Inequalities & Applications, 2019
The main goal of this paper is to present new generalizations of some known inequalities for the numerical radius and unitarily invariant norms of Hilbert space operators.
M. Sababheh, H. Moradi, S. Furuichi
semanticscholar   +1 more source

Operators with minimal pseudospectra and connections to normality

open access: yes, 2020
This paper mainly studies the class of bounded linear operators A with minimal pseudospectra σε (A) = σ(A)+Dε for some ε > 0 , where σ(A) denotes the spectrum of A , and Dε denotes the open disk of radius ε centered at the origin.
Samir Raouafi
semanticscholar   +1 more source

Topological properties of the block numerical range of operator matrices

open access: yes, 2020
We show that the block numerical range of an n×n -operator matrix A corresponding to an operator A on the Banach space X with respect to a decomposition X = ∏Xj has at most n connected components.
Agnes Radl, M. Wolff
semanticscholar   +1 more source

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