Sphericity and multiplication of double cosets for infinite-dimensional classical groupsстатья
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Дата последнего поиска статьи во внешних источниках: 8 декабря 2019 г.
Аннотация:We construct spherical subgroups in infinite-dimensional classical groups G (usually they are not symmetric and their finite-dimensional analogs are not spherical). We present a structure of a semigroup on double cosets L∖G/L for various subgroups L in G; these semigroups act in spaces of L-fixed vectors in unitary representations of G. We also obtain semigroup envelops of groups G generalizing constructions of operator colligations