Functional Analysis and Operator Theory Proceedings of a Conference

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1511

B. S. Yadav

D. Singh (Eds.)

Functional Analysis and Operator Theory Proceedings of a Conference held in Memory of U. N. Singh New Delhi, India, 2-6 August, 1990

Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest

Editors B. S. Yadav D. Singh Department of Mathematics University of Delhi Delhi 110007, India

Mathematics Subject Classification (1991): 30015, 30EIO, 41A17, 42A38, 43A25, 43A99, 46A06, 46A35, 46A99, 46B20, 46B99, 46E40, 46110, 46120, 46H99, 47A15, 47A17, 47B05, 47BIO,47B37, 47B38, 47005, 58C20

ISBN 3-540-55365-7 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-55365-7 Springer-Verlag New York Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1992 Printed in Germany

Typesetting: Camera ready by author Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 46/3140-543210 - Printed on acid-free paper

PREFACE

The department of mathematic-.s of the University Campus,

organised

a

NatLona 1

Seminar

International Conference from August

from

5-H,

August

W90

in

This

proceedings of the conferenee and also ineludes

as

pa.pers

of

South

and the

on Iate

t.he ' eonference

volume

eomprises

the

mathematieians

by

include

Ana. lysis ,

Harmonie

1990

memory

who were unable to attend. The topics t.hat a.re covered Analysis, Operator Theory, Abstract

Delhi

2-4,

Professor U. N. Singh. The theme of the semina.r as we11 was -Recent Trends in Contemporary Analysis'.

of

Funetiona1

Fourier

Analysis

Approximation Theory and Funetion Theory. The volume is dedieated to the memory of Professor U.N. Singh who was a distinguished analyst and a.mongst

the

pioneers

who

initiated

the

study of Functional Analysis in India. It ineludes a lli3J>er \"JY him written a few weeks before his demise. The department is grateful to the University Grants Commission of India and the National Board of

Higller

Mathematics

support. We would like to express our gratitude

to

for

their

Professor

finallcial

P.K.

,1ain,

Professor R. Vasudevan, Dr. Pramod Kumar, Dr. S.C. Arora and Dr. Ajay Kumar for their help in the pr-epar-atIon of

this

volume

and

to

Savi tri

Devi,

Poonam Satija and Preeti Niganl for their diligent proof reading. We are also grateful to Manvinder Singll for placing his

computer

expertise at our disposal which helped us in various ways. Finally, we would like to express our thanks to

Springer

Verlag

for their interest and cooperat