Titlebook: Analysis and Operator Theory; Dedicated in Memory Themistocles M. Rassias,Valentin A. Zagrebnov Book 2019 Springer Nature Switzerland AG 2

Decimate

ARENA

Eleonora Veglianti,Yaya Li,Marco De MarcoIn the present paper, we prove some equivalent statements of a Hilbert-type integral inequality in the whole plane with intermediate variables. In our theorems, the constant factor is associated to the Hurwitz zeta function and we prove that it is the best possible. We also derive various special cases and applications.

MAIM

Mhc-Molecule

Eleonora Veglianti,Yaya Li,Marco De MarcoWe determine the factor generated by the GNS-representation defined by a KMS-weight for a generalized gauge action on a simple graph .-algebra, when the corresponding measure on the path space of the graph is conservative for the shift.

文件夹

Arkadiusz Januszewski,Kinga KrupcałaIt is shown that for a certain class of the Kato functions, the Trotter–Kato product formulae converge in Dixmier ideal . in topology, which is defined by the .-norm. Moreover, the rate of convergence in this topology inherits the error-bound estimate for the corresponding operator-norm convergence.

folliculitis

,Tosio Kato’s Unpublished Paper,An unpublished manuscript of Tosio Kato was recently found. His paper is published here, after nearly 30 years, together with some comments by the authors.

秘传

Scattering on Leaky Wires in Dimension Three,We consider the scattering problem for a class of strongly singular Schrödinger operators in . which can be formally written as ., where . is the coupling parameter and . is an infinite curve which is a local smooth deformation of a straight line .. Using Kato–Birman method, we prove that the wave operators . exist and are complete.

intolerance

Pointwise Exponential Decay of Bound States of the Nelson Model With Kato-Class Potentials,Pointwise exponential decay of bound states of the so-called Nelson model with Kato-class potentials is shown by constructing a martingale derived from the semigroup generated by the Nelson Hamiltonian.

从属

On a Few Equivalent Statements of a Hilbert-Type Integral Inequality in the Whole Plane with the HuIn the present paper, we prove some equivalent statements of a Hilbert-type integral inequality in the whole plane with intermediate variables. In our theorems, the constant factor is associated to the Hurwitz zeta function and we prove that it is the best possible. We also derive various special cases and applications.

大漩涡