Abstract:We formulate general conditions which imply that
${\mathcal L}(X,Y)$
, the space of operators from a Banach space X to a Banach space Y, has
$2^{{\mathfrak {c}}}$
closed ideals, where
${\mathfrak {c}}$
is the cardinality of the continuum. These results are applied to classical sequence spaces and Tsirelson-type spaces. In particular, we prove that the cardinality of the set ofclosed ideals in
${\mathcal L}\left (\e… Show more
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