Santhosh Kumar Pamula

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5 papers · 1 filter

math.FA2026

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…

math.FA2025

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.…

math.FA2025

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…

math.FA2025

Operator moment dilations as block operators

B. V. Rajarama Bhat, Anindya Ghatak, Santhosh Kumar Pamula

Let $H$ be a complex Hilbert space and let ${A_{n}}_{n \geq 1}$ be a sequence of bounded linear operators on $H$ . Then a bounded operator $B$ on a Hilb…

math.FA2024

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…