2 papers
math.FA2008
Generalized Polar Decompositions for Closed Operators in Hilbert Spaces and Some Applications
Fritz Gesztesy, Mark Malamud, Marius Mitrea +1
We study generalized polar decompositions of densely defined, closed linear operators in Hilbert spaces and provide some applications to relatively (form) bounded and relatively (f…
math-ph2008
Discrete spectrum in a critical coupling case of Jacobi matrices with spectral phase transitions by uniform asymptotic analysis
Serguei Naboko, Irina Pchelintseva, Luis O. Silva
For a two-parameter family of Jacobi matrices exhibiting first-order spectral phase transitions, we prove discreteness of the spectrum in the positive real axis when the parameters…