10 citations
8 papers
-extreme points of positive operator valued measures and unital completely positive maps
Tathagata Banerjee, B V Rajarama Bhat, Manish Kumar
We study the quantum () convexity structure of normalized positive operator valued measures (POVMs) on measurable spaces. In particular, it is seen that unlike extreme points…
The Structure of Cartan Subgroups in Lie Groups
Arunava Mandal, Riddhi Shah
We study properties and the structure of Cartan subgroups in a connected Lie group. We obtain a characterisation of Cartan subgroups which generalises Wüstner's structure theorem f…
Higher dimensional formal orbifolds and orbifold bundles in positive characteristic
Indranil Biswas, Manish Kumar, A. J. Parameswaran
In \cite{KP}, the last two authors introduced formal orbifold curves defined over an algebraically closed field of positive characteristics. They studied both étale and Nori fundam…
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,…
Bayesian Filtering for Multi-period Mean-Variance Portfolio Selection
Shubhangi Sikaria, Rituparna Sen, Neelesh S. Upadhye
For a long investment time horizon, it is preferable to rebalance the portfolio weights at intermediate times. This necessitates a multi-period market model in which portfolio opti…
On Murray-von Neumann algebras -- I: Topological, Order-Theoretic and Analytical Aspects
Soumyashant Nayak
For a countably decomposable finite von Neumann algebra , we show that any choice of a faithful normal tracial state on engenders the same measure topolo…