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Tridiagonal shifts and analytic perturbations/ Susmita Das

By: Material type: TextTextPublication details: Bangalore: Indian Statistical Institute, 2022Description: 119 pagesSubject(s): DDC classification:
  • 23 515.724 D229
Online resources:
Contents:
Preliminaries -- Tridiagonal kernels and left-invertible operators with applications to Aluthge transforms -- Invariant subspaces of analytic perturbations -- Tridiagonal shifts as compact + isometry -- Left-invertibility of rank-one perturbations
Production credits:
  • Guided by Prof. Jaydeb Sarkar
Dissertation note: Thesis (Ph.D.) - Indian Statistical Institute, 2022 Summary: This thesis deals with the merge of a number of operator and function theoretic concepts, namely, reproducing kernels, Aluthge transforms, left invertible operators, compact perturbations of isometries, and invariant subspaces of finite rank perturbations of isometries. Our study intends to contribute equally to these subjects.
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Holdings
Item type Current library Call number Status Notes Date due Barcode Item holds
THESIS ISI Library, Kolkata 515.724 D229 (Browse shelf(Opens below)) Available E-Thesis. Guided by Prof. Jaydeb Sarkar TH565
Total holds: 0

Thesis (Ph.D.) - Indian Statistical Institute, 2022

Includes bibliography

Preliminaries -- Tridiagonal kernels and left-invertible operators with applications to Aluthge transforms -- Invariant subspaces of analytic perturbations -- Tridiagonal shifts as compact + isometry -- Left-invertibility of rank-one perturbations

Guided by Prof. Jaydeb Sarkar

This thesis deals with the merge of a number of operator and function theoretic concepts, namely, reproducing kernels, Aluthge transforms, left invertible operators, compact perturbations of isometries, and invariant subspaces of finite rank perturbations of
isometries. Our study intends to contribute equally to these subjects.

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