Almost-finite, compact, and inessential operators
نویسندگان
چکیده
منابع مشابه
Compact Sets and Compact Operators
Proof. Properties 2 and 3 are left to the reader. For property 1, assume that S is an unbounded compact set. Since S is unbounded, we may select a sequence {vn}n=1 such that ‖vn‖ → 0 as n→∞. Since S is compact, this sequence will have a convergent subsequence, say {vk}k=1, which will still be unbounded. This sequence is Cauchy, so there is a positive integer K for which ‖v`− vm‖ ≤ 1/2 for all `...
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If one converts surface lters into context free rules, one has to introduce new features. These features are strictly nonlexical, and their distribution is predictable from the distribution of the lexical features. Now, given a (feature based) context free grammar, we ask whether one can identify the nonlexical features. This is not possible; however, the notion of an inessential feature ooers ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1963
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1963-0155197-5