线性关系的偏等距与广义逆

IF 0.5 Q3 MATHEMATICS ACTA SCIENTIARUM MATHEMATICARUM Pub Date : 2023-03-05 DOI:10.1007/s44146-023-00067-w

Zied Garbouj

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引用次数: 0

摘要

对于希尔伯特空间上处处定义的闭线性关系，引入并研究了等距、共等距、偏等距和广义逆的概念。本文证明的部分结果改进和推广了一些已知的这些概念的结果。特别是，我们扩展了[Acta Sci.Math.（Szeged），70（2004），767-781]和[Studia Math.205（2011），no.1，71-82]的内容。

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Partial isometries and generalized inverses of linear relations

For a closed linear relation everywhere defined on a Hilbert space the concepts of isometry, co-isometry, partial isometry, and generalized inverse are introduced and studied. Part of the results proved in this paper improve and generalize some results known for these concepts. In particular, we extend those of [Acta Sci. Math. (Szeged), 70 (2004), 767–781] and [Studia Math. 205 (2011), no. 1, 71–82].

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