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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…
math.FA2019
Strongly irreducible factorization of quaternionic operators and Riesz decomposition theorem
P. Santhosh Kumar
Let be a bounded quaternionic normal operator on a right quaternionic Hilbert space . We show that can be factorized in a strongly irreducible sense, that is,…