منابع مشابه
Representations of Banach Spaces1
1. S. Bernstein, Sur la borne supérieure du module de la dérivée d'une fonction de degré fini, Dokl. Akad. Nauk SSSR 51 (1946), 567-568; Collected Works, Vol. 2, Izdatelstvo Akademii Nauk SSSR, Moscow, 1954, pp. 396-398. 2. R. P. Boas, Jr., Entire functions, Academic Press, New York, 1954. 3. S. Bochner, Vorlesungen über Fouriersche Integrale, Akademische Verlagsgesellschaft, Leipzig, 1932. 4. ...
متن کاملMetrizable Köthe Spaces1
The sets A = A(r) and A*=A(A) are vector lattices, [l], and are called associated Köthe spaces. Initially Köthe and Toeplitz, [9], and later Köthe, in a series of papers of which [lO] is representative, studied these spaces for the case where E is the space of natural numbers with the discrete topology and p(n) = 1 for every natural number w. Dieudonné, [4], extended the theory to the case for ...
متن کاملOn Paracompact Spaces1
1. Stone2 has proved that a space is fully normal 7\ if and only if it is paracompact T2. If throughout his proof T\ is deleted and T2 is replaced by T4 (normality), we obtain that a space is fully normal if and only if it is paracompact TV In this note we prove that 7*2 can also be replaced by any one of the following: T2. Every two points with disjoint closures have disjoint neighborhoods. Ti...
متن کاملDifferentiation in Normed Spaces1
The notation and terminology used in this paper have been introduced in the following articles: [5], [1], [4], [10], [6], [7], [16], [15], [11], [12], [13], [3], [8], [19], [20], [17], [18], [21], and [9]. Let us consider non empty sets D, E, F . Now we state the propositions: (1) There exists a function I from (FE)D into FD×E such that (i) I is bijective, and (ii) for every function f from D i...
متن کاملOn the Smoothness of Functors
In this paper we will try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should has.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1965
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(65)50069-x