| | |
Summary: OPERATOR THEORY AND HARMONIC ANALYSIS
DAVID ALBRECHT, XUAN DUONG and ALAN M c INTOSH
Lectures presented at the Workshop in Analysis and
Geometry, C.M.A., A.N.U., Canberra, Jan. -- Feb. 1995
Contents
1. Spectral Theory of Bounded Operators
(A) Spectra and resolvents of bounded operators on Banach spaces
(B) Holomorphic functional calculi of bounded operators
2. Spectral Theory of Unbounded Operators
(C) Spectra and resolvents of closed operators in Banach spaces
(D) Holomorphic functional calculi of operators of type S!+
3. Quadratic Estimates
(E) Quadratic norms of operators of type S!+ in Hilbert spaces
(F) Boundedness of holomorphic functional calculi
4. Operators with Bounded Holomorphic Functional Calculi
(G) Accretive operators
(H) Operators of type S! and spectral projections
5. Singular Integrals
(I) Convolutions and the functional calculus of \Gammai d
dx
|
