ENGLISH

Weighted shifts on directed trees

By Il Bong Jung , Zenon Jan Jablonski , Jan Stochel

Book information

Publisher
Amer Mathematical Society
Year
2012
ISBN
0821868683, 978-0-8218-6868-3
Language
english
Format
PDF
Filesize
1 MB (1078691 bytes)
Series
Memoirs of the American Mathematical Society 1017
Pages
122\122
Library
kolxoz
Time added
2015-12-12 14:00:00

Description

A new class of (not necessarily bounded) operators related to (mainly infinite) directed trees is introduced and investigated. Operators in question are to be considered as a generalization of classical weighted shifts, on the one hand, and of weighted adjacency operators, on the other; they are called weighted shifts on directed trees. The basic properties of such operators, including closedness, adjoints, polar decomposition and moduli are studied. Circularity and the Fredholmness of weighted shifts on directed trees are discussed. The relationships between domains of a weighted shift on a directed tree and its adjoint are described. Hyponormality, cohyponormality, subnormality and complete hyperexpansivity of such operators are entirely characterized in terms of their weights. Related questions that arose during the study of the topic are solved as well

Similar books