TY  - BOOK
AU  - Lax,Peter D
TI  - Functional analysis
SN  - 0471556041
AV  - QA320 .L345 2002
PY  - 2002///]
CY  - New York
PB  - Wiley
KW  - Functional analysis
N1  - Includes bibliographical references and index; 1; Linear spaces --; 2; Linear maps --; 3; The Hahn-Banach theorem --; 4; Applications of the Hahn-Banach theorem --; 5; Normed linear spaces --; 6; Hilbert space --; 7; Applications of Hilbert space results --; 8; Duals of normed linear spaces --; 9; Applications of duality --; 10; Weak convergence --; 11; Applications of weak convergence --; 12; The weak and weak topologies --; 13; Locally convex topologies and the Krein-Milman theorem --; 14; Examples of convex sets and their extreme points --; 15; Bounded linear maps --; 16; Examples of bounded linear maps --; 17; Banach algebras and their elementary spectral theory --; 18; Gelfand's theory of commutative Banach algebras --; 19; Applications of Gelfand's theory of commutative Banach algebras --; 20; Examples of operators and their spectra --; 21; Compact maps --; 22; Examples of compact operators --; 23; Positive compact operators --; 24; Fredholm's theory of inegral equations --; 25; Invariant subspaces --; 26; Harmonic analysis on a halfline --; 27; Index theory --; 28; Compact symmetric operators in Hilbert space --; 29; Examples of compact symmetric operators --; 30; Trace class and trace formula --; 31; Spectral theory of symmetric, normal, and unitary operators --; 32; Spectral theory of self-adjoint operators --; 33; Examples of self-adjoint operators --; 34; Semigroups of operators --; 35; Groups of unitary operators --; 36; Examples of strongly continuous semigroups --; 37; Scattering theory --; 38; A theorem of Beurling
ER  -