Pairs of inner projections and two applications
Orthogonal projections onto closed subspaces of H 2 (D n) of the form φ H 2 (D n) for inner
functions φ on D n are referred to as inner projections, where H 2 (D n) denotes the Hardy …
functions φ on D n are referred to as inner projections, where H 2 (D n) denotes the Hardy …
Numerical radius and Berezin number inequality
We study various inequalities for numerical radius and Berezin number of a bounded linear
operator on a Hilbert space. It is proved that the numerical radius of a pure two-isometry is 1 …
operator on a Hilbert space. It is proved that the numerical radius of a pure two-isometry is 1 …
Characterization of Pure Contractive Multipliers and Applications
S Sarkar - Complex Analysis and Operator Theory, 2022 - Springer
A contraction T on a Hilbert space H is said to be pure if the sequence {T∗ n} n converges to
0 in the strong operator topology. Motivated by this definition, an operator-valued multiplier …
0 in the strong operator topology. Motivated by this definition, an operator-valued multiplier …
On Unitary Quasi-equivalence and Partial Isometry Operators in Hilbert Spaces
A Lilian, MS Wabomba… - Journal of Advances in …, 2023 - public.paper4promo.com
Unitary quasi-equivalence has been shown to be an equivalence relation. Similarly, unitary
quasi-equivalence has been proven to preserve normality, hyponormality and binormality of …
quasi-equivalence has been proven to preserve normality, hyponormality and binormality of …
Partially isometric Toeplitz operators with operator-valued symbols
S Sarkar - arXiv preprint arXiv:2407.10609, 2024 - arxiv.org
In this paper, we study partially isometric Toeplitz operators $ T_ {\Phi} $ on Hilbert space-
valued Hardy spaces $ H_ {\mathcal {E}}^ 2 (\mathbb {D}^ n) $ over the unit polydisc. We …
valued Hardy spaces $ H_ {\mathcal {E}}^ 2 (\mathbb {D}^ n) $ over the unit polydisc. We …
Products of two orthogonal projections
J Bhattacharjee, J Sarkar - arXiv preprint arXiv:2411.01831, 2024 - arxiv.org
arXiv:2411.01831v1 [math.FA] 4 Nov 2024 Page 1 arXiv:2411.01831v1 [math.FA] 4 Nov 2024
PRODUCTS OF TWO ORTHOGONAL PROJECTIONS JAYDEEP BHATTACHARJEE AND …
PRODUCTS OF TWO ORTHOGONAL PROJECTIONS JAYDEEP BHATTACHARJEE AND …
Commutant lifting, interpolation, and perturbations on the polydisc
J Sarkar - arXiv preprint arXiv:2301.10020, 2023 - arxiv.org
The fundamental theorem on commutant lifting due to Sarason does not carry over to the
setting of the polydisc. This paper presents two classifications of commutant lifting in several …
setting of the polydisc. This paper presents two classifications of commutant lifting in several …
Toeplitz operators on the -dimensional Hartogs triangle
S Jain - arXiv preprint arXiv:2410.00791, 2024 - arxiv.org
We formally introduce and study Toeplitz operators on the Hardy space of the $ n $-
dimensional Hartogs triangle. We find a precise relation between these operators and the …
dimensional Hartogs triangle. We find a precise relation between these operators and the …
Characterizations of complex symmetric Toeplitz operators
We present complete characterizations of Toeplitz operators that are complex symmetric.
This follows as a by-product of characterizations of conjugations on Hilbert spaces. Notably …
This follows as a by-product of characterizations of conjugations on Hilbert spaces. Notably …
[PDF][PDF] Commutant Lifting, Interpolation and Toeplitz Operators In Several Variables
D Kathikulath Dilip - 2023 - library.isical.ac.in
The purpose of this thesis is to examine some classical one variable Hilbert function space
theoretic results in the context of several complex variables and commuting tuples of …
theoretic results in the context of several complex variables and commuting tuples of …