On Bohr cluster sets
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Gordon S. Woodward (1982)
Colloquium Mathematicae
N. N. Kholshchevnikova (1990)
Acta Universitatis Carolinae. Mathematica et Physica
T. Muraleedharan, K. Parthasarathy (1996)
Colloquium Mathematicae
In the study of spectral synthesis S-sets and C-sets (see Rudin [3]; Reiter [2] uses the terminology Wiener sets and Wiener-Ditkin sets respectively) have been discussed extensively. A new concept of Ditkin sets was introduced and studied by Stegeman in [4] so that, in Reiter’s terminology, Wiener-Ditkin sets are precisely sets which are both Wiener sets and Ditkin sets. The importance of such sets in spectral synthesis and their connection to the C-set-S-set problem (see Rudin [3]) are mentioned...
S. Hartman (1979)
Colloquium Mathematicae
Daniel Li (1995)
Colloquium Mathematicae
Peter Eliaš (2003)
Acta Universitatis Carolinae. Mathematica et Physica
K. Harrison, L. Ramsey (1996)
Colloquium Mathematicae
Jean Ludwig (1983)
Mathematische Annalen
Paolo Maurizio Soardi, Giancarlo Travaglini (1981)
Colloquium Mathematicae
Pascal Lefevre (1998)
Colloquium Mathematicae
Some new properties of the stationary sets (defined by G. Pisier in [12]) are studied. Some arithmetical conditions are given, leading to the non-stationarity of the prime numbers. It is shown that any stationary set is a set of continuity. Some examples of "large" stationary sets are given, which are not sets of uniform convergence.
Etienne Matheron (1996)
Colloquium Mathematicae
John J.F. Fournier (1983)
Monatshefte für Mathematik
David C. Wilson (1986)
Monatshefte für Mathematik
Louis Pigno, Sadahiro Saeki (1990)
Colloquium Mathematicae
R. Kaufman (1977)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
N. Kalton (1993)
Colloquium Mathematicae
Let E be a Sidon subset of the integers and suppose X is a Banach space. Then Pisier has shown that E-spectral polynomials with values in X behave like Rademacher sums with respect to -norms. We consider the situation when X is a quasi-Banach space. For general quasi-Banach spaces we show that a similar result holds if and only if E is a set of interpolation (-set). However, for certain special classes of quasi-Banach spaces we are able to prove such a result for larger sets. Thus if X is restricted...
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