Title of article :
Generalized A-Numerical Radius of Operators and Related Inequalities
Author/Authors :
Bhunia ، Pintu Department of Mathematics - School of Mathematics - Jadavpur University , Feki ، Kais Department of Mathematics - Faculty of Economic Sciences and Management - University of Monastir , Paul ، Kallol Department of Mathematics - School of Mathematics - Jadavpur University
Abstract :
In this paper, we establish several characterizations of the A-parallelism of bounded linear operators with respect to the seminorm induced by a positive operator A acting on a complex Hilbert space. Among other things, we investigate the relationship between A-seminorm-parallelism and A-Birkhoff-James orthogonality of A-bounded operators. In particular, we characterize A-bounded operators which satisfy the A-Daugavet equation. In addition, we relate the A-Birkhoff-James orthogonality of operators and distance formulas and we give an explicit formula of the center mass for A-bounded operators. Some other related results are also discussed.
Keywords :
Positive operator , A , adjoint , A , numerical radius , Semi , inner product , Inequality
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
