Distorted Histories | Mathematical Histories Distorted by Certain Mathematical Objects

Ilwoo Cho

ISBN 10: 3639210832 / ISBN 13: 9783639210835

Published by VDM Verlag Dr. Müller, 2009

About this Item

Distorted Histories | Mathematical Histories Distorted by Certain Mathematical Objects | Ilwoo Cho | Taschenbuch | Englisch | VDM Verlag Dr. Müller | EAN 9783639210835 | Verantwortliche Person für die EU: VDM Verlag Dr. Müller, Brivibas Gatve 197, 1039 RIGA, LETTLAND, customerservice[at]vdm-vsg[dot]de | Anbieter: preigu.

Seller Inventory # 101455210

Bibliographic Details

• Title: Distorted Histories | Mathematical Histories Distorted by Certain Mathematical Objects
• Publisher: VDM Verlag Dr. Müller
• Publication Date: 2009
• Language: English
• ISBN 10: 3639210832
• ISBN 13: 9783639210835
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 4W x 150H x 220D millimeters 4 millimeters width by 150 millimeters height by 220 millimeters depth
• Weight: 108 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

The main purpose of this monograph is to show the existence of distortions of histories, and analyze the distorted histories in operator-algebraic points of view. We provide two types of distortions occured by some finite number of objects. In dynamical systems, we define a history by a pair, consisting of a type I factor, and an E_0-group with some additional conditions. We distort the given history by a finite number of partial isometries. Two types of distortions can happen: inner distortions, and outer distortions. The fundamental properties of distorted histories are characterized. We also study the operator algebras generated by distorted histories. Also, by comparing operator algebras generated by histories and those generated by distorted histories, we investigate the differences between them. As application, we observe the fractally distorted histories, which are one type of the ``patterned'' distorted histories.

About the Author

Master Degree (Math): Sungkyunkwan Univ., and Univ. of Iowa / PhD (Math) : Univ. of Iowa / Current Position : Assistant Professor in St. Ambrose Univ., Dep. of Math (Davenport, Iowa, U. S. A.)