On the Structure of Conditionally Positive Definite Algebraic Operators

Zenon Jan Jabłonsk (), Bong Jung () and Jan Stochel ()
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Zenon Jan Jabłonsk: Instytut Matematyki, Uniwersytet Jagiellonski
Bong Jung: Kyungpook National University, Department of Mathematics
Jan Stochel: Instytut Matematyki, Uniwersytet Jagiellonski

A chapter in Multivariable Operator Theory, 2023, pp 469-489 from Springer

Abstract: Abstract Recently, the authors have introduced and intensively studied a class of bounded Hilbert space operators called conditionally positive definite. Its origins go back to the harmonic analysis on *-semigroups, namely to the concept of conditional positive definiteness. Our main aim here is to give a complete description of algebraic conditionally positive definite operators on inner product spaces; we do not assume that the operators under consideration are bounded.

Keywords: Algebraic operator; Conditional positive definiteness; Conditionally positive definite operator; Similarity; Primary 47B20; Secondary 47B90 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-50535-5_18

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DOI: 10.1007/978-3-031-50535-5_18

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