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THE ABSOLUTE FUNCTIONAL CALCULUS FOR SECTORIAL OPERATORS

By Tamara Kucherenko

Abstract

I would like to thank the faculty of the University of Missouri Mathematics Depart-ment for their efforts in sharing mathematical experience and helping my studies in every possible way. In particular, I would like to express greatest gratitude to my advisor Nigel Kalton for his support and help during my years at Mizzou. His insight and ideas have been crucial to my research. Further, I owe the opportunity of coming to Missouri to my diploma advisor Vladimir Kadets, Kharkov National University, who introduced me to Banach space theory. His guidance as an advisor and friend helped me in many ways. I acknowledge support from Lutz Weis and the University of Karlsruhe where my stay with a DAAD research scholarship was very inspiring. Moreover, I appreciate the welcome of the mathematics faculty at the University of South Carolina where I spent the Spring and Fall semesters of 2004. Special thanks go to my loving husband Mark who has always been supportive and encouraging. i

Year: 2005
OAI identifier: oai:CiteSeerX.psu:10.1.1.122.5275
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