On the Kreĭn-Langer integral representation of generalized Nevanlinna functions.
In a recent paper by H. X. Cao, J. H. Zhang and Z. B. Xu an -Lipschitz operator from a compact metric space into a Banach space is defined and characterized in a natural way in the sence that is a -Lipschitz operator if and only if for each the mapping is a -Lipschitz function. The Lipschitz operators algebras and are developed here further, and we study their amenability and weak amenability of these algebras. Moreover, we prove an interesting result that and are isometrically...
We study the local spectral properties of both unilateral and bilateral weighted shift operators.
In the present work, using a formula describing all scalar spectral functions of a Carleman operator of defect indices in the Hilbert space that we obtained in a previous paper, we derive certain results concerning the localization of the spectrum of quasi-selfadjoint extensions of the operator .