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A Dichotomy Principle for Universal Series

100%

Farmaki V., Nestoridis V.

Bulletin of the Polish Academy of Sciences. Mathematics

2008

tom 56

nr 2

93-104

Applying results of the infinitary Ramsey theory, namely the dichotomy principle of Galvin-Prikry, we show that for every sequence $(α_{j})_{j=1}^{∞}$ of scalars, there exists a subsequence $(α_{k_j})_{j=1}^{∞}$ such that either every subsequence of $(α_{k_j})_{j=1}^{∞}$ defines a universal series, or no subsequence of $(α_{k_j})_{j=1}^{∞}$ defines a universal series. In particular examples we decide which of the two cases holds.

The structure of Eberlein, uniformly Eberlein and Talagrand compact spaces in Σ($R^r$)

79%

Farmaki V.

Fundamenta Mathematicae

1987

tom 128

nr 1

15-28

Classes of nonseparable Banach spaces with no universal element

50%

Farmaki V.

Studia Mathematica

1986

tom 83

nr 2

119-125

Ograniczanie wyników

1 Bulletin of the Polish Academy of Sciences. Mathematics

1 Fundamenta Mathematicae

1 Studia Mathematica

3 Farmaki V.

1 Nestoridis V.

1 2008

1 1987

1 1986

Wyniki wyszukiwania

A Dichotomy Principle for Universal Series

The structure of Eberlein, uniformly Eberlein and Talagrand compact spaces in Σ($R^r$)

Classes of nonseparable Banach spaces with no universal element