(Progress in Mathematics 225) Mats Andersson, Ragnar Sigurdsson, Prof. Mikael Passare (auth.)-Complex Convexity and Analytic Functionals-Birkh盲user Basel (2004).pdf

Progress in Mathematics
Volume 225
Series Editors
H. Bass
1. Oesterle
A. Weinstein
Mats Andersson
Mikael Passare
Ragnar Sigurdsson
Complex Convexity
and
Analytic Functionals
Springer Basei AG
Authors:
Mats Andersson Prof. Mikael Passare
Department of Mathematics Department of Mathematics
Chalmers University of Technology Stockholm University
41296 10691 Stockholm
Sweden Sweden
e-mail: ******@ e-mail: ******@
Ragnar Sigurdsson
Science Institute
University of Iceland
Dunhaga 3
107 Reykjaviik
Iceland
e-mail: ******@
2000 Mathematics Subject Classification 32F17, 32A26, 46Fl5
A CIP catalogue record for this book is available from the Library of Congress,
Washington ., USA
Bibliographic information published by Die Deutsche Bibliothek
Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie;
detailed bibliographic data is available in the at <>.
ISBN 978-3-0348-9605-4 ISBN 978-3-0348-7871-5 (eBook)
DOI -3-0348-7871-5
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© 2004 Springer Basel AG
Originally published by Birkhauser Verlag in 2004
Softcover reprint of the hardcover 1st edition 2004
Part or Spnnger SCIence +Busmess MedIa
Printed on acid-free paper produced of chlorine-free pulp. TCF 00
ISBN 978-3-0348-9605-4
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Contents
Introduction .... . . . . . . . . . . . vii
1 Convexity in Real Projective Space
Convexity in real affine space . 1
Real projective space . 2
Convexity in real projective space. 5
plex Convexity
Linearly convex sets .