Seminars

【Regular Seminar】Seminar on Functional Analysis

Author:Administrator    Publicsh date:2017-04-01    Clicks:353
Seminar on Functional Analysis Meeting on: Sundays 2:30-5:30 pm, Room 813 Abstract: This seminar on functional analysis is for more advanced theory in functional analysis. Topics: (1) N ......
Seminar on Functional Analysis
Meeting on:
Sundays 2:30-5:30 pm, Room 813
Abstract:
  This seminar on functional analysis is for more advanced theory in functional analysis. 
Topics: 
(1) Normed spaces and Banach space theory
(2) Hilbert Spaces
(3) Bound linear operators
(4) Spectral theory of normal bounded linear operators
(5) Unbound linear operators and Banach algebras
(6) Spectral theory for unbounded self-adjoint operators on Hilbert spaces
(7) Semigroup theory and other applications
(8) Fredholm theory and perturbation theory
(9) Classes of linear operators on Hilbert spaces 
References:
[1]  A first course in functional analysis,   John B. Conway
[2]  Spectral theory of self-adjoint operators in Hilbert spaces- Solomyak and Birman
[3]  泛函分析(上,下册), 张恭庆
[4]  Perturbation theory for linear operators,  Kato
[5]  The analysis of linear partial operators, volume 1,  Hormander
[6]  Theory of function spaces,          Hans Triebel