Geodesic
A completely hyperexpansive completion problem for weighted shifts on directed trees with one branching vertex
Filomat, Tome 37 (2023) no. 12, p. 4047

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DOI

Let α = {α k } n k=0 be given a finite sequence of positive real numbers. The completely hyperexpansive completion problem seeks equivalence conditions for the existence of a completely hyperexpansive weighted shift W ˆ α such that α ⊆ ˆ α. Let T η,κ be a directed tree consisting of one branching vertex, η branches and a trunk of length κ, and let T η,κ,p be a subtree of T η,κ whose members consist of the p-generation family from branching vertex. Suppose S λ is the weighted shift acting on the tree T η,κ. This object S λ on the tree T η,κ has been applied to the several topics. Recently, Exner-Jung-Stochel-Yun studied the subnormal completion problem for weighted shifts on T η,κ in 2018. In this paper we discuss the completely hyperexpansive completion problem for weighted shifts on T η,κ as a counterpart of the subnormal completion problem for Sλ .
DOI : 10.2298/FIL2312047L
Classification : 47B37, 47B20, 47A63, 05C20, 44A60
Keywords: Completely hyperexpansive operator, weighted shift on a directed tree, completely hyperexpansive completion prob- lem, flatness, completely alternating sequence 
Eun Young Lee. A completely hyperexpansive completion problem for weighted shifts on directed trees with one branching vertex. Filomat, Tome 37 (2023) no. 12, p. 4047 . doi: 10.2298/FIL2312047L
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     title = {A completely hyperexpansive completion problem for weighted shifts on directed trees with one branching vertex},
     journal = {Filomat},
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     year = {2023},
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     number = {12},
     doi = {10.2298/FIL2312047L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2312047L/}
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