Boundary Triplets, Weyl Functions, and the Kreĭn Formula

Vladimir Derkach ()
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Vladimir Derkach: Department of Mathematics, Donetsk National University

Chapter 10 in Operator Theory, 2015, pp 183-218 from Springer

Abstract: Abstract This chapter contains a short review of the theory of boundary triplets, and the corresponding Weyl functions, of symmetric operators in Hilbert and Kreĭn spaces. The theory of generalized resolvents of such operators is exposed from the point of view of boundary triplets approach. Applications to different continuation problems related to the extension theory of Kreĭn space symmetric operators are discussed.

Keywords: Boundary Triplet; Weyl Function; Symmetric Operator Spaces; Bitangential Interpolation Problem; Pontryagin Space (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0667-1_32

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DOI: 10.1007/978-3-0348-0667-1_32

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