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, we consider L2 (R,CN) as a Hilbert MN(C)-module. The frames of translates and frame multiresolution analysis on this space are studied. We characterize frames of translates on this space. Also, relations between the frames...

We investigate the generalized derivations and

show that every generalized derivation on a simple Hilbert

C

∗

-module is either closable or has a dense range. We also

describe dynamical systems on a full Hilbert C...

let E be a full finsler B module, ϕ a *-isomorphism.

K-frames which are generalization of frames on Hilbert spaces,

were introduced to study atomic systems with respect to a bounded

linear operator. In this paper, ∗-K-frames on HilbertC

∗

-modules,

as a...

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...

It is proved that for adjointable operators $A$ and $B$ between Hilbert $C^*$-modules‎, ‎certain majorization conditions are always equivalent without any assumptions on‎

‎$\\overline{\\mathcal{R}(A^*)}$‎, ‎where $A^*$ denotes the adjoint...