A Norm Inequality for Chebyshev Centres

In this paper, we obtain some refinements of the known operator inequalities for the $p$-Schatten class. In addition, we obtain an approach to the inequalities conjectured by Audenaert and Kittaneh for the $p$-Schatten class.

Let mathcal{C}_p be the Schatten p -class for p>0 .

Generalizations of the parallelogram law for the Schatten 2 -norms have been given in the following form:

If mathbf{A}= {A_1,A_2, ldots,A_n } and ...

Refining some results of S.S. Dragomir, several new reverses of the triangle in-

equality in inner product spaces are obtained....

In this paper we present a new characterization of inner product spaces related to the pangular

distance. We also generalize some results due to Dunkl, Williams, Kirk, Smiley and

Al-Rashed by using the notion of p-angular distance....

In this paper, we give some characterizations of orthogonality preserving mappings between inner product spaces. Furthermore, we study the linear mappings that preserve some angles. One of our main results states that if $\\mathcal{X}, \\mathcal...

In this paper we present a new criterion on characterization of real

inner product spaces. We conclude that a real normed space $(X, \\|\\cdot\\|)$ is an inner product space if

$$\\sum_{\\varepsilon_i \\in \\{-1,1\\}} \\left\\|x_1 +...

In this paper, the concept of a family of local atoms in a

2-inner product space is introduced and then this concept is generalized

to an atomic system for an operator. Next a characterization of atomic

systems is proved...

two different $p$-angular distances with each other‎. ‎Finally‎, ‎we present some characterizations of inner product spaces related to the $p$-angular and the skew $p$-angular distances‎. ‎In particular‎, ‎we show that if $p>1$ is a real number...