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2005 | 187 | 1 | 61-93
Tytu艂 artyku艂u

Determining c鈧 in C(饾挦) spaces

Tre艣膰 / Zawarto艣膰
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J臋zyki publikacji
EN
Abstrakty
EN
For a countable compact metric space 饾挦 and a seminormalized weakly null sequence (f鈧)鈧 in C(饾挦) we provide some upper bounds for the norm of the vectors in the linear span of a subsequence of (f鈧)鈧. These bounds depend on the complexity of 饾挦 and also on the sequence (f鈧)鈧 itself. Moreover, we introduce the class of c鈧-hierarchies. We prove that for every 伪 < 蠅鈧, every normalized weakly null sequence (f鈧)鈧 in $C(蠅^{蠅^{伪}})$ and every c鈧-hierarchy 饾摋 generated by (f鈧)鈧, there exists 尾 鈮 伪 such that a sequence of 尾-blocks of (f鈧)鈧 is equivalent to the usual basis of c鈧.
S艂owa kluczowe
Tw贸rcy
  • Department of Mathematics, National Technical University of Athens, Athens 15780, Greece
  • Department of Mathematics, National Technical University of Athens, Athens 15780, Greece
Bibliografia
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Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-fm187-1-3
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