58 research outputs found
Differences of weighted composition operators between the Fock spaces
We study some important topological properties such as boundedness,
compactness and essential norm of differences of weighted composition operators
between Fock spacesComment: 10 page
Weighted composition operators between different Fock spaces
We study weighted composition operators acting between Fock spaces. The
following results are obtained: (1) Criteria for the boundedness and
compactness; (2) Characterizations of compact differences and essential norm;
(3) Complete descriptions of path connected components and isolated points of
the space of composition operators and the space of nonzero weighted
composition operators
Frames and operators in Schatten classes
Let be a compact operator on a separable Hilbert space . We show that,
for , belongs to the Schatten class if and only if
for \emph{every} frame in ; and for
, belongs to if and only if for
\emph{some} frame in . Similar conditions are also obtained in
terms of the sequence and the double-indexed sequence
.Comment: 27 page
SOME REMARKS ON THE SELF-ORGANIZING FEATURE MAPS
Joint Research on Environmental Science and Technology for the Eart
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