Convergent Subsequences from Sequences of Functions

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

CONVERGENT SUBSEQUENCES FROM SEQUENCES OF FUNCTIONS ( i )

Let \yA be a sequence of functions, y. e TlseSE where S is a nonempty subset of the /-dimensional Euclidean space and 77 is an ordered vector space with positive cone X . If y, £"sfji,i sufficient conditions are given that \y A have a subsequence \hA such that for each t e S the sequence {A.(i)| is monotone for k sufficiendy large, depending on i. If each E is an ordered topological vector spac...

متن کامل

Heapable Sequences and Subsequences

Let us call a sequence of numbers heapable if they can be sequentially inserted to form a binary tree with the heap property, where each insertion subsequent to the first occurs at a previously placed number. In this paper we consider a variety of problems related to heapable sequences and subsequences that do not appear to have been studied previously. Our motivation for introducing these conc...

متن کامل

Some Spaces of Lacunary Convergent Sequences Defined by Orlicz Functions

We introduce the sequence spaces [ ˆ w(M)] and [ ˆ w(M)] θ of strong almost convergence and lacunary strong almost convergence respectively defined by the Orlicz function M. We establish certain inclusion relations and show that the above spaces are same for any bounded sequences. 1. Definitions and notations A sequence x ∈ l ∞ , the space of bounded sequences x = (x k), is said to be almost co...

متن کامل

Detecting Linear Sequences and Subsequences†

Greenwood (1946), using an L2 distance, and others have addressed the question of detecting a too-linear fit of the occurrence times T0 < T1 < · · · < Tn of a sequence of random events. Two convenient distances are introduced here, then applied to the more challenging problem of detecting too-linear subsequences, where the multiple subsequence effect must be taken into account. Two interpretati...

متن کامل

Qualitative Properties of Ideal Convergent Subsequences and Rearrangements

We investigate the Baire category of I-convergent subsequences and rearrangements of a divergent sequence s = (sn) of reals, if I is an ideal on N having the Baire property. We also discuss the measure of the set of I-convergent subsequences for some classes of ideals on N. Our results generalize theorems due to H. Miller and C. Orhan (2001).

متن کامل

ذخیره 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: Transactions of the American Mathematical Society

سال: 1975

ISSN: 0002-9947

DOI: 10.2307/1997283