Elements of the Theory of Functions and Functional Analysis, Vols 1 & 2

Elements of the Theory of Functions and Functional Analysis

Volume 1 · Metric and Normed Spaces Elements of the Theory of Functions and Functional Analysis

Volume 2 Measure. The Lebesgue Integral. Hilbert Space By A. N. KOLMOGOROV AND S. V. FOMIN TRANSLATED FROM THE FIRST (1960) RUSSIAN EDITION by HYMAN KAMEL AND HORACE KOMM Department of Mathematics Rensselaer Polytechnic Institute Martino Publishing Mansfield Centre, CT 2012

A. N. Kolmogorov and S. V. Fomin

Translated from the first (1954) Russian edition by Leo F. Boron Department of Mathematics · University of Wisconsin

Martino Publishing · Mansfield Centre, CT · 2012

Martino Publishing P.О. Box 373, Mansfield Centre, CT 06250 USA www.martinopublishing.com

ISBN 978-1-61427-304-2

© 2012 Martino Publishing. All rights reserved. No new contribution to this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior permission of the Publisher.

Cover design by T. Matarazzo

Printed in the United States of America on 100% acid-free paper