A framework to study commutation problems
A simple characterization of commutative -algebras.
A simple characterization of the trace-class of operators.
An application of the Sakai's theorem to the characterization of - algebras.
An exotic characterization of a commutative -algebra.
Another version of “Exotic characterization of a commutative -algebra”.
Characterization of an -algebra in terms of a trace.
Commuting idempotents of an -algebra.
Crossed Products of Communtation Systems.
Diagonalization of a self-adjoint operator acting on a Hilbert module.
Direct Integrals of Left Hubert Algebras.
Direkte Integrale von Hilbertalgebren.
Discontinuity of the product in multiplier algebras.
Entire functions operate in complete locally A-convex algebras but not continuously. Actually squaring is not always continuous. The counterexample we give is multiplier algebra.
Exponentially bounded indefinite functions.
Invariant Weights on Semi-Finite von Neumann Algebras.
Isomorphisms of -triple systems
Modular bases in a Hilbert -module
Monotone and convex -algebra valued functions.
Nonassociative real H*-algebras.
We prove that, if A denotes a topologically simple real (non-associative) H*-algebra, then either A is a topologically simple complex H*-algebra regarded as real H*-algebra or there is a topologically simple complex H*-algebra B with *-involution τ such that A = {b ∈ B : τ(b) = b*}. Using this, we obtain our main result, namely: (algebraically) isomorphic topologically simple real H*-algebras are actually *-isometrically isomorphic.
Nonlinear -Lie higher derivations of standard operator algebras
Let be an infinite-dimensional complex Hilbert space and be a standard operator algebra on which is closed under the adjoint operation. It is shown that every nonlinear -Lie higher derivation of is automatically an additive higher derivation on . Moreover, is an inner -higher derivation.