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<p>In this paper, we study the continuous family of Fredholm operators parameterized by a topological space <i>X</i> into a Hilbert space <i>H</i>, extending naturally the Fredholm operators theory. We also consider the properties and perturbations of Fredholm family, semi-Fredholm family, Weyl family and Browder family. In addition, we give also an extension of the Weyl’s type theorem for operators. And the perturbations of Weyl’s type theorem and spectral theory are studied.</p>

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The Weyl’s type theorems for Fredholm family

  • 期刊论文

  • 发表日期：

    2025年10月13日

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  • Yingying Kong

摘要

In this paper, we study the continuous family of Fredholm operators parameterized by a topological space X into a Hilbert space H, extending naturally the Fredholm operators theory. We also consider the properties and perturbations of Fredholm family, semi-Fredholm family, Weyl family and Browder family. In addition, we give also an extension of the Weyl’s type theorem for operators. And the perturbations of Weyl’s type theorem and spectral theory are studied.