Scholarlink

We will begin this chapter by showing that it is possible to describe all continuous linear functionals on some of the classical spaces we have been working with. The relevant feature of this description of dual spaces is that the functionals are described as objects belonging to the same class as the elements of the space, namely, continuous linear functionals on function spaces shall be described as functions, and continuous linear functionals on sequence spaces shall be described as sequences.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Duality and Reflexive Spaces

  • 章节

  • 发表日期：

    2025年

查看全文
  • Geraldo Botelho,
  • Daniel Pellegrino,
  • Eduardo Teixeira

摘要

We will begin this chapter by showing that it is possible to describe all continuous linear functionals on some of the classical spaces we have been working with. The relevant feature of this description of dual spaces is that the functionals are described as objects belonging to the same class as the elements of the space, namely, continuous linear functionals on function spaces shall be described as functions, and continuous linear functionals on sequence spaces shall be described as sequences.