Download Analysis at Urbana: Volume 2, Analysis in Abstract Spaces by Earl R. Berkson, N. Tenney Peck, J. Jerry Uhl PDF

By Earl R. Berkson, N. Tenney Peck, J. Jerry Uhl

During the educational 12 months 1986-7, the collage of Illinois was once host to a symposium on mathematical research which was once attended by means of the various major figures within the box. This booklet arises out of this precise 12 months and lays emphasis at the synthesis of recent and classical research. The contributed articles via the individuals hide the gamut of mainstream issues. This e-book could be necessary to researchers in mathematical research.

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Analysis at Urbana: Volume 2, Analysis in Abstract Spaces

During the educational 12 months 1986-7, the collage of Illinois was once host to a symposium on mathematical research which used to be attended by means of a number of the best figures within the box. This booklet arises out of this detailed 12 months and lays emphasis at the synthesis of recent and classical research. The contributed articles by means of the individuals conceal the gamut of mainstream themes.

Additional resources for Analysis at Urbana: Volume 2, Analysis in Abstract Spaces

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270-286. 9. R. Coifman and G. , No. 31, Amer. Math. , Providence, 1977. 10. J. J. Uhl, Vector measures. Amer. Math. , Providence, 1977. Math. Surveys, No. 15, 11. R. Dowson,. Spectral theory of linear operators, London Math. Soc. Monographs, No. 12, Academic Press, London, 1978. 51 30 Berkson & Gillespie: Spectral decompositions 12. E. I. Gaudry, Li 11lewood-Paley and wult iplier theory, Ergebnisse der Mathematik und ihrer Grenzgebiete 90, Springer-Verlag, Berlin, 1977. 13. M. Riesz, Sur les fonctions 27(1928), 218-244.

London Math. expansions, J. DEPARTMENT OF MATHEMATICS UNIVERSITY OF EDINBURGH JAMES CLERK MAXWELL BUILDING THE KING'S BUILDINGS EDINBURGH EH9 3JZ SCOTLAND VECTOR-VALUED HARDY SPACES FROM OPERATOR THEORY Oscar Blasco^) ABSTRACT. The classical Hardy space in the disc for functions taking values in a Banach space, HPB(D) J < p < M . is identified with special classes of operators from LP into B. 1,- INTRODUCTION AND PREVIOUS RESULTS. [8l). We shall try to find the corresponding result when the functions are allowed to take values in a general Banach space.

11) that Remarks. ^ E(-) t Hence for all In view of the uniqueness is concentrated on a compact AdE(A) i is the infinitesimal The constructions reproduced in [11, Proposition such that t € IR . 13) LEMMA. 20)]). 4) to give a to record the following obvious consequence of Corollary of for all satisfying { U^ Theorem for one-parameter groups of trigonometrically let space itT bounded. 5] of type (B) on the Hilbert This gives an example of a group uniformly interval ^t € IR provide a well-bounded operator o such that But in this case, it follows from It follows readily that generator of J .

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