This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric
functional analysis which deals with certain subspaces of Banach spaces arising naturally in …

This invaluable reference is the first to present the general theory of algebras of operators on
a Hilbert space, and the modules over such algebras. The new theory of operator spaces is …

Norm Inequalities for Certain Operator Sums Page 1 Journal of Functional Analysis FU2957
journal of functional analysis 143, 337 348 (1997) Norm Inequalities for Certain Operator Sums …

Several refinements of norm and numerical radius inequalities of bounded linear operators
on a complex Hilbert space are given. In particular, we show that if A is a bounded linear …

We give several sharp numerical radius inequalities for certain 2× 2 operator matrices.
Among other inequalities, it is shown that if A and B be operators in B (H). Then w ([AB 0 …

We use certain norm inequalities for 2× 2 operator matrices to establish norm inequalities for
sums of positive operators. Among other inequalities, it is shown that if A and B are positive …

This paper deals with the so-called A-numerical radius associated with a positive (semi-
definite) bounded linear operator A acting on a complex Hilbert space H. Several new …

It is shown that if A and B are positive operators on a separable complex Hilbert space, and
if∥|·|∥ is any unitarily invariant norm, then [Formula: see text] When specialized to the usual …

In this paper, we prove further unitarily invariant norm inequalities for positive semidefinite
matrices. These inequalities generalize earlier related inequalities. Among other …

We give several applications of a recent theorem of the second author, which solved a
conjecture of the first author with Hay and Neal, concerning contractive approximate …