Coordinate-Free Approach for the Characteristic Function of a Fourth-Order Dissipative Operator. (10th December 2019)

• Record Type: Journal Article
• Authors: Uğurlu, Ekin
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 16(2019)
• Page Start: 1877
• Page End: 1897
• Publication Date: 2019-12-10
• Subjects: Functional model -- characteristic function -- spectral analysis -- selfadjoint dilation; Primary 47A48 -- 34B24 -- Secondary 62M15; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1639730
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this article, we investigate some spectral properties of a singular dissipative fourth-order dissipative operator in lim − 4 case at the singular point. For this purpose we construct the characteristic function of both maximal simple dissipative operator and completely non-unitary contraction which is the Cayley transform of the dissipative operator. Using the properties of the characteristic operator-function we obtain the related results of the boundary value problem. Moreover we obtain the selfadjoint dilation of the maximal dissipative operator and its incoming and outgoing eigenfunctions by using coordinate-free approach.