Completeness of P-Summable as Hilbert Space with Its Dual Space
نویسندگان
چکیده
منابع مشابه
ON THE SPACE OF p-SUMMABLE SEQUENCES
On the space l of p-summable sequences (of real numbers), one can derive a norm from the 2-norm as indicated by Gunawan [6]. The purpose of this note is to establish the equivalence between such a norm and the usual norm on l. We show that our result is useful in understanding the topology of l as a 2-normed space.
متن کاملbv as a non separable dual space
let c be a field of subsets of a set i. also, let 1 i i be a non-decreasing positivesequence of real numbers such that 1, 1 0 1 i and 11 i i . in this paper we prove thatbv of all the games of -bounded variation on c is a non-separable and norm dual banach space of thespace of simple games on c . we use this fact to establish the existence of a linear mapping t from...
متن کاملBanach Space of Absolute Summable Complex Sequences
The subset the set of l1-complex sequences of the linear space of complex sequences is defined by the condition (Def. 1). (Def. 1) Let x be a set. Then x ∈ the set of l1-complex sequences if and only if x ∈ the set of complex sequences and idseq(x) is absolutely summable. The following proposition is true (1) Let c be a Complex, s1 be a complex sequence, and r1 be a sequence of real numbers. Su...
متن کاملBanach Space of Absolute Summable Real Sequences
The subset the set of l1-real sequences of the linear space of real sequences is defined by the condition (Def. 1). (Def. 1) Let x be a set. Then x ∈ the set of l1-real sequences if and only if x ∈ the set of real sequences and idseq(x) is absolutely summable. Let us observe that the set of l1-real sequences is non empty. One can prove the following two propositions: (1) The set of l1-real sequ...
متن کاملFor completeness, sublogarithmic space is no space
It is shown that for any class C closed under linear-time reductions, the complete sets for C under sublogarithmic reductions are also complete under 2DFA reductions, and thus are isomorphic under first-order reductions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ICSA - International Conference on Statistics and Analytics 2019
سال: 2021
ISSN: 0853-8115,0853-8115
DOI: 10.29244/icsa.2019.pp51-56