Year: 2010
Type: article
Abstract: Let G = (V, E, µ) be a weighted directed tree, where V is a vertex set, E is an edge set, and µ is a σ-finite measure on V .The tree G induces a composition operator C on the Hilbert space l 2 (V ).Hand-type directed trees are defined and characterized the weak hyponormalities of such C in this note.Also some additional related properties are discussed.In addition, some examples related to directed hand-type trees are provided to separate classes of weak-hyponormal operators.
Source: Kyungpook mathematical journal
Authors: Mi-Ryeong Lee, Hyo-Gun Ahn
Institution: Kyungpook National University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2009366562