21 citations · 66 across the 27 of their papers we have counts for
7 papers · 1 filter
Pedersen--Takesaki operator equation in Hilbert -modules
R. Eskandari, X. Fang, M. S. Moslehian +1
We extend a work of Pedersen and Takesaki by giving some equivalent conditions for the existence of a positive solution of the so-called Pedersen--Takesaki operator equation $XHX=K…
Power-norms based on Hilbert -modules
Sajjad Abedi, Mohammad Sal Moslehian
Suppose that and are Hilbert -modules. We present a power-norm based on $\mathsc…
Improved inequalities for the numerical radius via Cartesian decomposition
Pintu Bhunia, Suvendu Jana, Mohammad Sal Moslehian +1
We develop various lower bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space, which improve the existing inequality $w^2(A)\g…
Similarities and differences between real and complex Banach spaces: an overview and recent developments
M. S. Moslehian, G. A. Muñoz-Fernández, A. M. Peralta +1
There are numerous cases of discrepancies between results obtained in the setting of real Banach spaces and those obtained in the complex context. This article is a modern expositi…
Vector-valued reproducing kernel Hilbert -modules
M. S. Moslehian
The aim of this paper is to present a unified framework in the setting of Hilbert -modules for the scalar- and vector-valued reproducing kernel Hilbert spaces and -valued…
Left multipliers of reproducing kernel Hilbert -modules and the Papadakis theorem
M. Ghaemi, V. M. Manuilov, M. S. Moslehian
We give a modified definition of a reproducing kernel Hilbert -module (shortly, ) without using the condition of self-duality and discuss some related aspects; in par…
Hilbert -module independence
R. Eskandari, J. Hamhalter, M. S. Moslehian +1
We introduce the notion of Hilbert -module independence: Let be a unital -algebra and let , be ternary subspa…