In functional analysis and related areas of mathematics, a sequence space is a vector space whose elements are infinite sequences of real or complex numbers ... |
11 апр. 2024 г. · A classical sequence space is a vector space of sequences of real numbers, equipped with a p-norm that makes it a normed vector space. More ... |
A sequential space is a topological space whose topology can be completely characterized by its convergent/divergent sequences. |
The sequence spaces can be thought of as the “building blocks” of Banach spaces and Banach lattices. Whether they are embedded in a Banach space or a Banach ... |
This notation is chosen because of two (larger) spaces C0 and C which we will study below. The space C is the space of convergent sequences of complex numbers. |
The aim of this paper is to study some of the basic scalar and vector valued sequence spaces .We also study the topological structures of some of the basic ... |
8 сент. 2013 г. · Prove that sequence space ℓp(R) is separable ... To show separability I need to find countable everywhere dense subset. I've already proved (with ... |
In this paper we introduce the sequence spaces c0i(∆) ,ci(∆) and li ∞(∆) of interval numbers and study some of their algebraic and topological properties. Also ... |
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