##### Volume 01 (2012)
Functional analysis
##### 1. Some improvements of numerical radius inequalities via Specht’s ratio

Y. Khatib; M. Hassani

Volume 09, Issue 03 , Summer 2020, , Pages 221-230

##### Abstract
We obtain some inequalities related to the powers of numerical radius inequalities of Hilbert space operators. Some results that employ the Hermite-Hadamard inequality for vectors in normed linear spaces are also obtained. We improve and generalize some inequalities with respect to ...  Read More

Functional analysis
##### 2. The solutions to some operator equations in Hilbert $C^*$-module

Volume 04, Issue 01 , Winter 2015, , Pages 35-42

##### Abstract
In this paper, we state some results on product of operators with closed ranges and we solve the operator equation $TXS^*-SX^*T^*= A$ in the general setting of the adjointable operators between Hilbert $C^*$-modules, when $TS = 1$. Furthermore, by using some block operator matrix techniques, ...  Read More

Functional analysis
##### 3. On the superstability of a special derivation

M. Hassani; E. Keyhani

Volume 03, Issue 01 , Winter 2014, , Pages 15-22

##### Abstract
The aim of this paper is to show that under some mild conditions a functional equation of multiplicative $(\alpha,\beta )$-derivation is superstable on standard operator algebras. Furthermore, we prove that this generalized derivation can be a continuous and an inner $(\alpha,\beta)$-derivation.  Read More