Vector and Operator Valued Measures and Applications

✍ Scribed by D.H. Tucker, Harold Bright Maynard

• Publisher: Elsevier Inc, Academic Press Inc
• Year: 1973
• Tongue: English
• Leaves: 450
• Category: Library

✦ Table of Contents

Content:
Inside Front Cover, Page ii
Front Matter, Page iii
Copyright, Page iv
PARTICIPANTS, Pages ix-xiii
PREFACE, Pages xv-xvi
SOME REMARKS ON A THEOREM OF KOLMOGOROV, Pages 1-5, G.D. Allen, S. Cambanis
ON EXPOSED POINTS OF THE RANGE OF A VECTOR MEASURE, Pages 7-22, R. Anantharaman
A SURVEY OF SOME RECENT RESULTS ON COMPACT MAPPINGS, Pages 23-32, Jürgen Batt
A SURVEY OF DANIELL INTEGRATION, Pages 33-42, Klaus Bichteler
DANIELL AND DANIELL-BOCHNER TYPE INTEGRALS, Pages 43-50, Witold M. Bogdanowicz
EQUICONTINUITY, ABSOLUTE CONTINUITY AND WEAK COMPACTNESS IN MEASURE THEORY, Pages 51-61, James K. Brooks
INDEPENDENCE AND CONTRACTIVE PROJECTIONS ON Lp, Pages 63-67, Charles Byrne Jr., Francis Sullivan
DISINTEGRATION OF MEASURES AND LIFTING, Pages 69-83, S.D. Chatterji
THE RADON-NIKODYM THEOREM FOR VECTOR MEASURES WITH VALUES IN THE DUALS OF SOME NUCLEAR SPACES, Pages 85-95, G.Y.H. Chi
GROTHENDIECK SPACES AND VECTOR MEASURES, Pages 97-108, J. Diestel
LINEAR OPERATIONS ON Lp-SPACES, Pages 109-124, Nicolae Dinculeanu
A NOTE ON PRODUCTS OF SPECTRAL MEASURES, Pages 125-126, R.M. Dudley
VECTOR VALUED MEASURES AND DECOMPOSING MAPS, Pages 127-132, D.J. Hebert Jr.
THE YOSIDA-HEWITT DECOMPOSITION AS AN ERGODIC THEOREM, Pages 133-139, Robert E. Huff
STOCHASTIC INTEGRATION, Pages 141-148, Kiyosi Itô
THE SPECTRAL INTEGRAL IN SCATTERING THEORY, Pages 149-153, J.M. Jauch, W. Amrein, V. Georgescu
PRE-MEASURES ON LATTICES OF SETS - II, Pages 155-164, J.L. Kelley, M.K. Nayak, T.P. Srinivasan
ON THE BOCHNER INTEGRAL, Pages 165-174, J.L. Kelley, T.P. Srinivasan
THE EXTENSION AND CLOSURE OF VECTOR MEASURE, Pages 175-190, Igor Kluvánek
HIGHER-ORDER DIFFERENTIABILITY OF THE NORM IN LP (E), Pages 191-195, I. Edward Leonard
PERMANENCE PROPERTIES OF ABSOLUTE CONTINUITY CONDITIONS, Pages 197-206, Paul W. Lewis
ON THE STRUCTURE OF L 2,M, Pages 207-215, V. Mandrekar, H. Salehi
RADON-NIKODYM THEORY FOR OPERATOR VALUED MEASURES AND A THEOREM OF FOURES & SEGAL, Pages 217-232, P. Masani
A GENERAL RADON-NIKODYM THEOREM, Pages 233-246, Hugh B. Maynard
STOCHASTIC INTEGRATION, Pages 247-281, E.J. McShane
STOCHASTIC INTEGRAL AND VECTOR VALUED MEASURES, Pages 283-296, Michel Metivier
VECTOR-VALUED MEASURES RELATED TO A GENERALIZED CONTINUOUS HOMOGENEOUS RANDOM FIELD, Pages 297-301, Zoran R. Pop-Stojanovic
REMARKS ON A RADON-NIKODYM THEOREM FOR VECTOR MEASURES, Pages 303-317, M.M. Rao
CAUSAL FACTORIZATION, SHIFT OPERATORS AND THE SPECTRAL MULTIPLICITY FUNCTION, Pages 319-335, R. Saeks
INTEGRAL AS A CERTAIN TYPE OF A POSITIVE DEFINITE FUNCTION, Pages 337-338, Parfeny P. Saworotnow
VECTOR MEASURES AND THE SPECTRAL THEOREM, Pages 339-341, Alan H. Shuchat
L-ORTHOGONALLY SCATTERED MEASURES, Pages 343-350, K. Sundaresan, W.A. Woyczynski
ABSOLUTELY SUMMING OPERATORS ON CX(S), Pages 351-353, Charles Swartz
S-BOUNDED ADDITIVE SET FUNCTIONS, Pages 355-365, T. Traynor
SOME REMARKS ON THE NOTION OF “DERIVATIVES”, Pages 367-378, Don H. Tucker, Stanley G. Wayment
A SURVEY OF MEAN CONVERGENCE OF MARTINGALES OF PETTIS INTEGRABLE FUNCTIONS, Pages 379-385, J.J. Uhl Jr.
ON THE CONSTRUCTION OF THE HILBERT SPACE L2,M FOR AN OPERATOR-VALUED MEASURE M, Pages 387-397, John N. Welch
BIBLIOGRAPHY, Pages 399-458