output
20142026
most citedSeminorm and numerical radius inequalities of operators in semi-Hilbertian spaces

79 citations

Showing math.OAShow all

7 papers · 1 filter

math.OA2020★ 1 cited

B-spline interpolation problem in Hilbert C*-modules

Rasoul Eskandari, Michael Frank, Vladimir Manuilov +1

We introduce the -spline interpolation problem corresponding to a -valued sesquilinear form on a Hilbert -module and study its basic properties as well as the uniquene…

math.OA2019★ 2 cited

Extensions of the Lax-Milgram theorem to Hilbert C*-modules

R. Eskandari, M. Frank, V. M. Manuilov +1

We present three versions of the Lax-Milgram theorem in the framework of Hilbert C*-modules, two for those over W*-algebras and one for those over C*-algebras of compact operators.…

math.OA2018

Orthogonally -Jensen mappings on -modules

Ali Zamani

We investigate the representation of the so-called orthogonally -Jensen mappings acting on -modules. More precisely, let be a unital -algebra with the u…

math.OA2018★ 1 cited

Characterization of numerical radius parallelism in -algebras

Ali Zamani

Let be the numerical radius of an element in a -algebra . First, we prove several numerical radius inequalities in . Particularly, we pr…

math.OA2017★ 2 cited

Orthogonality preserving property for pairs of operators on Hilbert -modules

Michael Frank, M. S. Moslehian, Ali Zamani

We investigate the orthogonality preserving property for pairs of mappings on inner product -modules extending existing results for a single orthogonality-preserving mapping.…

math.OA2017★ 16 cited

Characterizations of operator Birkhoff-James orthogonality

Mohammad Sal Moslehian, Ali Zamani

In this paper, we obtain some characterizations of the (strong) Birkhoff--James orthogonality for elements of Hilbert -modules and certain elements of $\mathbb{B}(\mathscr{H})…