In this paper we consider C0-group of unitary operators on a Hilbert C*-module E. In particular we show that if A⊆L(E) be a C*-algebra including K(E) and αt a C0-group of *-automorphisms on A, such that there is x∈E with ...

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

is proper. Finally we use the results for B(X), the algebra of bounded

linear operators on a Banach space X....

‎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...

We give some inequalities related to a large class of operator norms, the so-called Qnorms,

for a (not necessary commutative) family of bounded linear operators acting on a Hilbert

space that are related to the classical Schwarz...

We present several numerical radius inequalities for Hilbert space operators.

More precisely, we prove that if A;B;C;D 2 B.H/ and T D A

C

B

D then

max.w.A/;w.D// 1

2 .kT kCkT ...

In this paper, we consider three classes of bounded linear operators on a topological vector space

with respect to three different topologies which are introduced by Troitsky. We obtain some properties for

the spectral radii of a...

constant is expressed explicitly in the case of closed operators. In

the case of the bounded linear operators we obtain some

characterizations for the Hyers--Ulam stability constants to be

continuous. As an application, we give a characterization...