4 papers
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…
Extreme points of unital completely positive maps invariant under partial action
Chaitanya J. Kulkarni, Md Amir Hossain
The classical Choquet theorem establishes a barycentric decomposition for elements in a compact convex subset of a locally convex topological vector space. This decomposition is ac…
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…