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