Partial isometries and quotient structures in Hilbert spaces
Por:
Plebanski J.F., Seligman T.H.
Publicada:
1 ene 1980
Resumen:
Partial isometries are studied as the natural framework both for the representation of semi-groups on Hilbert spaces and for the mapping of operators with different spectra. The general theory is illustrated by examining several pertinent problems from conventional quantum mechanics. Families of partial isometries are found to induce quotient structures on Hilbert space. Embedding in appropriate tensor product spaces allows the representation of such families by a single isometry. © 1980.
|