N.K. Nikol'skii, S.V. Hruscev, V.V. Peller, J. Peetre
This book is an elementary introduction to non-classical spectral theory. Mter the basic definitions and a reduction to the study of the functional model the discussion will be centered around the simplest variant of such a model which, formally speaking, comprises only the class of contraction operators with a one dimensional rank of non-unitarity (rank(I - T*T) = rank(I - TT*) = 1). The main emphasis is on the technical side of the subject, the book being mostly devoted to a development of the analytical machinery of spectral theory rather than to this discipline itself. The functional...
This book is an elementary introduction to non-classical spectral theory. Mter the basic definitions and a reduction to the study of the functional mo...
