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math.OA2024
Character Space and Gelfand type representation of locally C^{*}-algebra
Santhosh Kumar Pamula, Rifat Siddique
In this article, we identify a suitable approach to define the character space of a commutative unital locally -algebra via the notion of the inductive limit of topologic…
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…