Scholarlink

<p>We study maximal representations of nonnegative sesquilinear forms in real or complex Hilbert spaces, that are not necessarily closed or even closable. We associate positive self-adjoint operators with such forms, in a sense similar to Kato’s representation theorems. In particular, we give a brief proof of the Friedrichs extension of a densely defined positive operator.</p>

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

Basic Representation Theorems of Forms

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年9月9日

查看全文
  • Zsigmond Tarcsay,
  • Zoltán Sebestyén

摘要

We study maximal representations of nonnegative sesquilinear forms in real or complex Hilbert spaces, that are not necessarily closed or even closable. We associate positive self-adjoint operators with such forms, in a sense similar to Kato’s representation theorems. In particular, we give a brief proof of the Friedrichs extension of a densely defined positive operator.