Spectrum of the Direct Sum of Operators

Measure of non strict singularity of Schechter essential spectrum of two bounded operators and application

In this paper‎, ‎we discuss the essential spectrum of sum of two bounded operators‎ ‎using measure of non strict singularity‎. ‎Based on this new investigation‎, ‎a problem of one-speed neutron transport operator is presented‎.

Extended and infinite ordered weighted averaging and sum operators with numerical examples

This study discusses some variants of Ordered WeightedAveraging (OWA) operators and related information aggregation methods. Indetail, we define the Extended Ordered Weighted Sum (EOWS) operator and theExtended Ordered Weighted Averaging (EOWA) operator, which are applied inscientometrics evaluation where the preference is over finitely manyrepresentative works. As...

A Forward-Backward Projection Algorithm for Approximating of the Zero of the ‎S‎um of ‎T‎wo Operators

‎I‎n this paper‎, ‎a‎ forward-‎b‎ackward projection algorithm is considered for finding zero points of the sum of two operators‎ ‎in Hilbert spaces‎. ‎The sequence generated by algorithm converges strongly to the zero point of the sum of an $alpha$-inverse strongly‎ ‎monotone operator and a maximal monotone operator‎. ‎We apply the result for solving the variational inequality problem, fixed po...

Spectrum Properties of the Koopman and Frobenius-Perron Operators

Spectrum and essential spectrum of linear combinations of composition operators on the Hardy space H2

Let -----. For an analytic self-map ---  of --- , Let --- be the composition operator with composite map ---  so that ----. Let ---  be a bounded analytic function on --- . The weighted composition operator ---  is defined by --- . Suppose that ---  is the Hardy space, consisting of all analytic functions defined on --- , whose Maclaurin cofficients are square summable. .....