operator algebras...

We introduce the notion of operator Q -class function. Every non-negative operator convex function is of operator

Q -class, but the converse is not true in general. Some inequalities for the operator Q -class functions are presented...

In this paper, some properties of compact operators on quaternionic Hilbert spaces are studied. It is shown that the positiveness of a compact normal operator on a quaternionic Hilbert space is equivalent to positiveness of its eigenvalues. Some...

‎Let BJ(H) denote the set of self-adjoint operators acting on a Hilbert space H with spectra contained in an open interval J. A map Φ:BJ(H)→B(H)sa is said to be of Jensen-type if (C∗AC+D∗BD)≤C∗Φ(A)C+D∗Φ(B)D for all A,B∈BJ(H) and bounded linear...

graph operations...

In this paper, we obtain a new class of functions, which is developed via the Hermite--Hadamard inequality for convex functions. The well-known one-one correspondence between the class of operator monotone functions and operator connections declares...

In this paper, we study the one-level Friedrichs model by using

the quantum time super-operator that predicts the excited state decay inside

the continuum. Its survival probability decays exponentially in time....