Weighted Join Operators on Directed Trees

A rooted directed tree T = ( V , E ) with root root can be extended to a directed graph T ∞ = ( V ∞ , E ∞ ) by adding a vertex ∞ to V and declaring each vertex in V as a parent of ∞ . One may associate with the extended directed tree T ∞ a family of semigroup structures ⊔ b with extreme ends being i...

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Bibliographic Details
Published in:	Complex analysis and operator theory Vol. 17; no. 3; p. 36
Main Authors:	Chavan, Sameer, Gupta, Rajeev, Sinha, Kalyan B.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.04.2023 Springer Nature B.V
Subjects:	Analysis Compatibility Graph theory Hilbert space Hilbert transformation Lattice theory Linear operators Mathematics Mathematics and Statistics Multivariable Operator Theory. The Jörg Eschmeier Memorial Operator Theory Operators (mathematics) Perturbation Polytrees Semigroups Trees (mathematics) Complex Jordan Meet Commutant Form-sum Join 47B20 symmetric Gelfand-triplet Rank one perturbation 47B15 Directed tree Secondary 05C20 Discrete Hilbert transform Sectorial Primary 47B37 47H06
ISSN:	1661-8254, 1661-8262
Online Access:	Get full text
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