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Previously, I was a Post doctoral fellow at Indian Statistical Institute under the mentorship of Prof. B V Rajarama Bhat., I completed my Ph.D. in Pure Mathematics from NISER (D.A.E.), India under the supervision of Prof. Anil Karn.
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Bennett University, Times of India group
Office no. M-303
Phone: 7384991597
Email(s): anindya.ghatak123@gmail.com ___________________________________________________________________
Functional Analysis, Operator Theory and Operator Algebras. More specifically, I am focusing on the following objects:
M-ideals in operator spaces/algebras: (With my supervisor Prof. Anil K. Karn).
Moment Problem: (With postdoc mentor Prof. BV Rajarama Bhat) Here, we want to understand operator valued sequences that admits various dilation and its connection with completely positive maps and integral representations.
Dilation theory: CP maps, CB maps and Quantum dynamical semigroups.
Dilation Theory: Non-commuting operators.
Structure of Isometries: Wold decomposition, Coburn Theorem.
(With postdoc mentor Prof. Jaydeb Sarkar) C*-algebras generated by isometries,
Function theory (With postdoc mentor Prof. Jaydeb Sarkar): Isometry, Wold-decomposition, Hardy space, RKHS, BLH-Theorem, Toeplitz operators.
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