Abstract. M. Uchiyama identified a necessary and suffi-cient condition for two nonnegative bounded operators to commute. We give a sufficient condition which apparently requires less. Throughout, let X be a Hilbert space. By L(X) we denote the bounded linear operators on X, and by Lsa(X) the (real) subspace of selfadjoint operators. We order Lsa(X) by the usual cone of non-negative (definite) operators. In [5], M. Uchiyama established the following result
AbstractWe show that a bounded operator A on a Hilbert space belongs to a certain set associated wit...
AbstractLet L(X) be the algebra of all bounded operators on a non-trivial complex Banach space X and...
Let ▫$H$▫ be a separable Hilbert space and▫ ${mathcal B}_{sa}(H)▫$ the set of all bounded linear sel...
Abstract. For two bounded positive linear operators a, b on a Hilbert space, we give conditions whic...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
AbstractLet L(X) be the algebra of all bounded operators on a non-trivial complex Banach space X and...
AbstractLet H be a separable Hilbert space and Bsa(H) the set of all bounded linear self-adjoint ope...
We explore commutativity up to a factor, AB = uBA, for bounded operators in a complex Hilbert space....
AbstractWe consider commutators of the form Rƒ, g = i[ƒ(P), g(Q)], where P, Q are an irreducible can...
AbstractWe show that a bounded operator A on a Hilbert space belongs to a certain set associated wit...
AbstractLet L(X) be the algebra of all bounded operators on a non-trivial complex Banach space X and...
Let ▫$H$▫ be a separable Hilbert space and▫ ${mathcal B}_{sa}(H)▫$ the set of all bounded linear sel...
Abstract. For two bounded positive linear operators a, b on a Hilbert space, we give conditions whic...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
A bounded, not necessarily everywhere defined, nonnegative operator A in a Hilbert space h is assume...
AbstractLet L(X) be the algebra of all bounded operators on a non-trivial complex Banach space X and...
AbstractLet H be a separable Hilbert space and Bsa(H) the set of all bounded linear self-adjoint ope...
We explore commutativity up to a factor, AB = uBA, for bounded operators in a complex Hilbert space....
AbstractWe consider commutators of the form Rƒ, g = i[ƒ(P), g(Q)], where P, Q are an irreducible can...
AbstractWe show that a bounded operator A on a Hilbert space belongs to a certain set associated wit...
AbstractLet L(X) be the algebra of all bounded operators on a non-trivial complex Banach space X and...
Let ▫$H$▫ be a separable Hilbert space and▫ ${mathcal B}_{sa}(H)▫$ the set of all bounded linear sel...