Juan Carlos Cabello

On a generalized Semrl's theorem for weak-2-local derivations on B(H)

We prove that, for every complex Hilbert space

π-Complemented Algebras Through Pseudocomplemented Lattices

H

A Characterization of π-Complemented Algebras

, every weak-2-local derivation on

π-Complementation in the Unitisation and Multiplication Algebras of a Semiprime Algebra

B(H)

Closed Prime Ideals in Algebras with Semiprime Multiplication Algebra

or on

COMPLEMENTEDLY DENSE IDEALS: DECOMPOSABLE ALGEBRAS

K(H)

ON JB-TRIPLES WHICH ARE M-IDEALS IN THEIR BIDUALS

is a linear derivation. We also establish that every weak-2-local derivation on an atomic von Neumann algebra or on a compact C

Weak-2-local symmetric maps on C*-algebras

^*

On Properties of

-algebra is a linear derivation.

M

For an ideal I of a nonassociative algebra A, the π-closure of I is defined by