Clarkson–McCarthy Inequalities for l p -Spaces of Operators in Schatten Ideals

COMPOSITION OPERATORS ON HAAGERUP L p-SPACES

Building on the ideas in [Lab] we indicate how the concept of a composition operator may be extended to the context of Haagerup L p-spaces.

COMPOSITION OPERATORS ON HAAGERUP L p-SPACES

Building on the ideas in [L1] we indicate how the concept of a composition operator may be extended to the context of Haagerup L p-spaces.

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Inequalities for Normal Operators in Hilbert Spaces

Let (H ; 〈·, ·〉) be a complex Hilbert space and T : H → H a bounded linear operator on H. Recall that T is a normal operator if T T = TT . Normal operators may be regarded as a generalisation of self-adjoint operator T in which T ∗ need not be exactly T but commutes with T [11, p. 15]. The numerical range of an operator T is the subset of the complex numbers C given by [11, p. 1]: W (T ) = {〈Tx...

A Note on Weighted Composition Operators on L^p-Spaces