SPECIAL TOPIC IN OPERATOR THEORY

Quick  review  of  the  theory  of  bounded  operators  on  a  Hilbert  space  compactoperators,  Fredholm  operators,  spectral  theory  of  compact  self- adjoint  operators. Spectral  theorem  and  functional  calculus  for  a  bounded  self-adjoint  operator. Unbounded  operators  -  examples,  spectral  theorem  and  functional  calculus  for an  unbounded  self-adjoint  operator. Schatten  p-classes- interpolation. Krein’s  spectral  shift  function Prerequisite  :  MA  223

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Last updated: 20 May 2024