New PDF release: Supplemento del calculo infinitesimal (solutions)

By Michael Spivak

ISBN-10: 8429151435

ISBN-13: 9788429151435

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Example text

Clearly ~ (~ ) and ~ (K) are non-isomorphic whenever is open and K is a compact set (~, K c ~ ) . QUESTION. Which other d%fferences in topological properties of sets ~, E£ ( c C) imply that ~ (~4) and ~(Ez) are non- isomorphic? 9(~) and ~¢, K) , K c ~ . XeHEEH , " ~ H e ~ e s a ~ a ~ EOMIRIeECHOPO aHax~3a", Ycnex~ MaTeM. HayE. 1971, 26, N 4, 93-152 containing many results concerning spaces" of analytic functions, a list of unsolved problems and an extensive bibliography. - Ed. g. [4], [3], [7],[8], [9] ), THEOREM ([4],[12],[8]).

15. J. earen stabilen Potenzreihenr~ume vom unendlichen Typ, preprint (to appear in Studia Math. ). ~. ZOA~O~ o~ F -s~oss K(%p) ~e a I. e. F is the space of a l l sequences ~ = { ~ 4 satisfying l~Ip~---~, l ~ t ~ p <+~, p=~,~,.... (1) The space ~(@{p) is endowed with the topology defined by the family of semi-norms (I).

De France, 1967, 95, 109-154. H~epRocT~ ~ ~ p ~ e . O-Ba, C~O~CTBa npocTpa~cTB I960, 9, 817--328. Nath. , 1970, 93, 45-60). 7. R o 1 e w i c z S. Metric linear spaces. Warsaw, Monografie ~atematyczne, 56, 1972. 8. A. On weighted polynomial approximation of entire functions. F. , 1971, 36, 523-539. 3. ) if for each point ~ of its boundary ~ there exists an analytic p l a n e { ~ C ~ : ~ 1 + ° ° . +~+~=0~passing through ~ and not intersecting ~ . , ~ = ~IK ~ K ). c. domains approximating ~ from the outside.

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Supplemento del calculo infinitesimal (solutions) by Michael Spivak


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