ISOMETRIES OF GENERALIZED ALGEBRAS
Keywords:
Functional spaces; boolean algebras; complete boolean algebras; homogeneous Boolean algebras; passport of boolean algebra; internal algebras; external algebras; generalized algebras; isomorphisms; isometries.Abstract
In this paper studied isometries of spaces of integrable functions with logarithm. In particular, using passports of Boolean algebra, a necessary and sufficient condition of isometry spaces of integrable functions of logarithm with respect to strictly positive finite measures is proved.In this work generalized algebras are considered separately.
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