In this paper, B-Fredholm linear relations in Hilbert spaces are introduced and some of their properties are given. In particular, it is shown that they are completely characterized in terms of an algebraic decomposition with a Fredholm linear relation and a bounded nilpotent operator. The behaviour of a polynomial in them is also investigated.

中文翻译：

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Hilbert空间中的B -Fredholm线性关系

在本文中，乙Hilbert空间-Fredholm线性关系进行了介绍和它们的一些性质，给出。特别地，显示出它们完全通过具有Fredholm线性关系和有界幂等算子的代数分解来表征。还研究了多项式在其中的行为。