An N-receiver quantum dense coding scheme, in the case of high-dimensional Hilbert spaces, are investigated in this paper. A sender can send his messages to many receivers simultaneously....

In this paper, compact operators on quaternionic Hilbert space are introduced

and some properties of this class of operators are studied....

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...

In this paper, we study weak topology on right quaternionic Hilbert spaces. We show that on right quaternionic Hilbert spaces weak compactness and weak sequential compactness coincide which could be viewed as a generalization of Eberlein...

\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\times 2$ block matrices of operators on Hilbert spaces and finally describe the nature of such block matrices and provide several ways for showing their positivity‎....

as some refinements of a Callebaut type inequality involving Hadamard products of Hilbert space operators....

In this paper, we introduce generalizations of the Bessel inequality in Hilbert spaces

according to the results given by Bombiari, Boas–Bellman and Mitrinovi´c–Peˇcari´c–Fink and

give some extensions of these inequalities...

We introduce a notion of fuzzy Hilbert space and

establish a Cauchy--Schwarz type inequality. We also prove a

version of the parallelogram law in this setting. A fuzzy Hilbert

space theory can therefore be developed on this base....