Central limit theorems with hypotheses in terms of $ϵ$ -entropy are proved first in $C (S)$ where $S$ is a compact metric space and then in an arbitrary separable Banach space.

Unsolved Problems

N. Aronszajn; L. Gross; S. Kwapień; N. Nielsen; A. Pełczyński; A. Pietsch; L. Schwartz; P. Saphar; S. Chevet; R. Dudley; D. Garling; N. Kalton; B. Mitjagin; S. Rolewicz; E. Schock; J. Daleckiĭ; J. Dobrakov; B. Gelbaum; G. Henkin; L. Nachbin; N. Peck; L. Waelbroeck; P. Porcelli; M. Rao; M. Zerner; V. Zakharjuta — 1970

Studia Mathematica

1. The operator ideals and measures in linear spaces 469-472 2. Schauder bases and linear topological invariants 473-478 3. Various problems 479-483

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On χ² tests of composite hypotheses

Correction to "Convergence of Baire measures" (Studia Mathematica 27 (1966), pp. 251-268)

Small operators between Banach and Hilbert spaces

Convergence of Baire measures

Metric entropy and the central limit theorem in C ( S )

Unsolved Problems

Metric entropy and the central limit theorem in $C (S)$