TY - BOOK AU - Das,Susmita TI - Tridiagonal shifts and analytic perturbations U1 - 515.724 23 PY - 2022/// CY - Bangalore PB - Indian Statistical Institute KW - Mathematics KW - Operator Theory N1 - 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 N2 - 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 UR - http://dspace.isical.ac.in:8080/jspui/handle/10263/7353 ER -