nonexpansive operators
presentation
broad audience
2011-01-01
audience
main results
Bauschke
Simon Fraser University
applied mathematics
books
Universität
space
account
2022-12-01T06:45
Convex Analysis and Monotone Operator Theory in Hilbert Spaces
work
Kelowna
theory
engineering community
College
Faculty of Mathematics
Académie
full professors
https://doi.org/10.1007/978-1-4419-9467-7
postdoctoral fellowship
cycle
notion
tool
City College
gold medal
State University
degree
results
Versailles
engineering
Combettes
Hilbert space
professors
Ph.D. degree
convexity
Graduate Center
tight interplay
campus
self-contained account
University of Guelph
Guelph
York
lions
themes
operators
https://scigraph.springernature.com/explorer/license/
students
novelty
monotonicity
Université Pierre
mathematics
fellows
University of California
Marie Curie
central theme
economics
interplay
true
college professors
Professor of Mathematics
literature
978-1-4419-9467-7
chair
New York
North Carolina State University
2011
Pierre
British Columbia
University of Waterloo
science
University College
Curie
convex analysis
Research Chair
fellowship
Medal
IEEE
Santa Barbara
faculty
context
inverse problem
Pennsylvania State University
nonexpansiveness
University
graduate work
Jacques-Louis Lions
monograph
monotone operator theory
Ph.D. thesis
decision science
graduate students
years
optimization
California
Waterloo
Barbara
Columbia
analysis
City University
reference books
attempt
center
Frankfurt
researchers
community
thesis
book
operator theory
key notions
Canada Research Chair
This book presents a largely self-contained account of the main results of convex analysis, monotone operator theory, and the theory of nonexpansive operators in the context of Hilbert spaces. Unlike existing literature, the novelty of this book, and indeed its central theme, is the tight interplay among the key notions of convexity, monotonicity, and nonexpansiveness. The presentation is accessible to a broad audience and attempts to reach out in particular to the applied sciences and engineering communities, where these tools have become indispensable. Graduate students and researchers in pure and applied mathematics will benefit from this book. It is also directed to researchers in engineering, decision sciences, economics, and inverse problems, and can serve as a reference book. Author Information: Heinz H. Bauschke is a Professor of Mathematics at the University of British Columbia, Okanagan campus (UBCO) and currently a Canada Research Chair in Convex Analysis and Optimization. He was born in Frankfurt where he received his "Diplom-Mathematiker (mit Auszeichnung)" from Goethe Universität in 1990. He defended his Ph.D. thesis in Mathematics at Simon Fraser University in 1996 and was awarded the Governor General's Gold Medal for his graduate work. After a NSERC Postdoctoral Fellowship spent at the University of Waterloo, at the Pennsylvania State University, and at the University of California at Santa Barbara, Dr. Bauschke became College Professor at Okanagan University College in 1998. He joined the University of Guelph in 2001, and he returned to Kelowna in 2005, when Okanagan University College turned into UBCO. In 2009, he became UBCO's first "Researcher of the Year". Patrick L. Combettes received the Brevet d'Études du Premier Cycle from Académie de Versailles in 1977 and the Ph.D. degree from North Carolina State University in 1989. In 1990, he joined the City College and the Graduate Center of the City University of New York where he became a Full Professor in 1999. Since 1999, he has been with the Faculty of Mathematics of Université Pierre et Marie Curie -- Paris 6, laboratoire Jacques-Louis Lions, where he is presently a Professeur de Classe Exceptionnelle. He was elected Fellow of the IEEE in 2005.
problem
978-1-4419-9466-0
Mathematical Sciences
pub.1044558790
dimensions_id
Springer Nature
Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Place Jussieu 4, 75005, Paris, France
Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Place Jussieu 4, 75005, Paris, France
Combettes
Patrick L.
Bauschke
Heinz H.
10.1007/978-1-4419-9467-7
doi
Pure Mathematics
Springer Nature - SN SciGraph project
Okanagan Campus, Department of Mathematics and Statistic, University of British Columbia, V1V 1V7, Kelowna, British Columbia, Canada
Okanagan Campus, Department of Mathematics and Statistic, University of British Columbia, V1V 1V7, Kelowna, British Columbia, Canada