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Functional Models of Abelian Locally von Neumann Algebras and Direct Integrals of Locally Hilbert Spaces
Aurelian Gheondea, Chaitanya J. Kulkarni, Santhosh Kumar Pamula
We obtain a functional model for an arbitrary Abelian locally von Neumann algebra acting on a representing locally Hilbert space under the assumption that the index directed set is…
Direct integral of locally Hilbert spaces over a locally measure space
Chaitanya J. Kulkarni, Santhosh Kumar Pamula
In this work, we introduce the concept of the direct integral of locally Hilbert spaces by generalizing the classical notion of a measure space to that of a locally measure space.…
Direct integral of locally Hilbert spaces
Chaitanya J. Kulkarni, Santhosh Kumar Pamula
In this work, we introduce the concept of the direct integral of locally Hilbert spaces. This notion is formulated such that the direct integral of locally Hilbert spaces forms a l…
Direct Integral and Decompoisitions of Locally Hilbert spaces
Chaitanya J. Kulkarni, Santhosh Kumar Pamula
In this work, we introduce the concept of direct integral of locally Hilbert spaces by using the notion of locally standard measure space (analogous to standard measure space defin…