Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2010.50.1.089
Title & Authors
Weak Hyponomal Composition Operators Induced by a Tree Lee, Mi-Ryeong; Ahn, Hyo-Gun;
Let g = (V, E, ) be a weighted directed tree, where V is a vertex set, E is an edge set, and is -finite measure on V. The tree g induces a composition operator C on the Hilbert space (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.