Banach ideals on Hilbert spaces
نویسندگان
چکیده
منابع مشابه
Banach Spaces and Hilbert Spaces
A sequence {vj} is said to be Cauchy if for each > 0, there exists a natural number N such that ‖vj−vk‖ < for all j, k ≥ N . Every convergent sequence is Cauchy, but there are many examples of normed linear spaces V for which there exists non-convergent Cauchy sequences. One such example is the set of rational numbers Q. The sequence (1.4, 1.41, 1.414, . . . ) converges to √ 2 which is not a ra...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1975
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-54-2-161-172