## A. L. Barrenechea and C. C. Peña

# On innerness of derivations on *S*(*H* )

## (*Lobachevskii Journal of Mathematics, Vol.18, pp.21-32* )

We consider general bounded derivations on the Banach algebra of
Hilbert-Schmidt operators on an underlying complex infinite dimensional
separable Hilbert space *H*. Their structure is described by means
of unique infinite matrices. Certain classes of derivations are identified
together in such a way that they correspond to a unique matrix derivation. In
particular, Hadamard derivations, the action of general derivations on
Hilbert-Schmidt and nuclear operators and questions about innerness are considered.

DVI format (51Kb),
ZIP-ed DVI format (22Kb),

ZIP-ed PostScript format (159Kb),
ZIP-ed PDF format (122Kb),

MathML Format