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.

generalizations of this as pairs of inequalities for Schatten p -norms,

which hold for certain values of $p$ and reduce to the equality

above for p=2 . Moreover, we present some related inequalities for three sets of operators....

for an arbitrary bipartite state. The measures utilize the general Schatten p-norm to quantify the amount of departure from the necessary and sufficient condition of classicality of correlations provided by the concept of NDLID. We show that for the case of Hilbert...

We present some properties of orthogonality and relate them with support disjoint and norm inequalities in $p-$Schatten ideals.In addition, we investigate the problem of characterization of norm--parallelism
for bounded ...

‎In this paper‎, ‎we present some characterizations of linear mappings‎, ‎which preserve vectors at a specific angle‎. ‎We introduce the concept of $-varepsilon‎, ‎c-$-angle preserving mappings for $|c|<1$ and $0leq ...

Let $A, B, X \\\\in \\\\mathbb{B}(\\\\mathcal{H})$ for some complex Hilbert

space $\\\\mathcal{H}$ and $\\\\tilde{A}$ denote the Aluthge

transformation of $A$. Then $AX=XB$ implies $\\\\tilde{A}X=X\\\\tilde ...

A general operator parallelogram law

concerning a characterization of inner product spaces is established

and an operator extension of Bohr s inequality as well as several

norm inequalities are presented. ...

We establish a general operator parallelogram law concerning a characterization of

inner product spaces, get an operator extension of Bohr’s inequality and present several norm

inequalities. More precisely, ...