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Moore-Penrose homogeneous operator in multivalued linear operator. (Chinese. English summary) Zbl 1212.47002

Summary: The aim of this paper is to further develop the generalized inverse theory of multivalued linear operators. A quasi-linear projector is used to define the Moore-Penrose homogeneous operator of a multivalued linear operator. This paper proves the monodromy of the operator image, and studies orthogonal operators and measurement operators.

MSC:

47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
47A06 Linear relations (multivalued linear operators)
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