From the 1 of 5 linked papers with an AI index.
5 papers
Invariance Preserving Conjugations on the Hardy Space
Arup Chattopadhyay, Supratim Jana
The paper provides a complete description of conjugation operators on the Hardy space H^2 that preserve shift‑invariant subspaces and investigates when such conjugations map shift‑…
Restricted Toeplitz and Hankel Operators
Priyanka Aroda, Arup Chattopadhyay, Supratim Jana
We introduce and systematically study a class of operators that arise naturally due to the Beurling decomposition of the Hardy space . While the compressions…
Near Invariance of The Dual Compressed Shift
Arup Chattopadhyay, Supratim Jana
We present the notion of the nearly dual compressed shift-invariant subspaces of the orthogonal complement of the model space and obtain their structure using Hitt's algorithm \cit…
Dual Truncated Hankel Operators: Characterizations and Properties
Arup Chattopadhyay, Supratim Jana
We introduce the notion of the Dual Truncated Hankel Operator (DTHO) and provide several operator equation characterizations using the dual compressed shift operator. These charact…
Kernels of Perturbed Hankel Operators
Arup Chattopadhyay, Supratim Jana
In the classical Hardy space , it is well-known that the kernel of the Hankel operator is invariant under the action of shift operator S and sometimes nearly invar…