Register to reply 
Problem about Unitary Mapping 
Share this thread: 
#1
Dec1112, 05:40 PM

P: 1

U is a unitary mapping H to H, where H is hilbert space.
U = I + C, where I is the identity mapping and C is a compact mapping. Prove U has a complete set of orthonormal eigenvectors and all eigenvalues have absolute value of 1 Thanks! 


Register to reply 
Related Discussions  
Unitary Matrices Problem  Calculus & Beyond Homework  20  
Nonconformal Unitary Mapping  Advanced Physics Homework  7  
Unitary Transformation Problem  Calculus & Beyond Homework  2  
Unitary matrix problem  Introductory Physics Homework  3  
A little problem involving unitary matrices  Linear & Abstract Algebra  6 