Weighted Shifts on Directed Trees is popular PDF and ePub book, written by Zenon Jan Jablónski in 2012, it is a fantastic choice for those who relish reading online the Linear operators genre. Let's immerse ourselves in this engaging Linear operators book by exploring the summary and details provided below. Remember, Weighted Shifts on Directed Trees can be Read Online from any device for your convenience.
Weighted Shifts on Directed Trees Book PDF Summary
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.
Detail Book of Weighted Shifts on Directed Trees PDF
- Author : Zenon Jan Jablónski
- Release : 03 July 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821868683
- Genre : Linear operators
- Total Page : 122 pages
- Language : English
- PDF File Size : 21,5 Mb
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