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...

In this paper we consider the new concept of the quaternionic unitary representation of a locally compact group to the unitary group of a quaternionic Hilbert space, and study its properties. Also, we establish a continuous wavelet transform...

In this paper, we study projections on a quaternionic Hilbert space and prove similar properties of rojections on complex Hilbert spaces in quaternionic version....

In this paper the new concept of the quaternionic unitary representation of a locally compact group to the unitary group of a quaternionic Hilbert space is studied. A continuous wavelet transform by means of a special case of such representations...

‎In this paper‎, ‎the notion of a quaternionic Hilbert space is recalled and some properties of bounded linear operators on complex Hilbert‎ ‎spaces are generalized to quaternionic Hilbert spaces‎. ‎Some properties‎, ‎whose proofs confront non...

In this paper, we prove some inequalities between quaternionic bounded selfadjoint operators on quaternionic Hilbert spaces. We follow the Mond–Pecaric method in operator inequalities in case of complex Hilbert spaces and obtain the similar...