An index formula for the product of linear relations |
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Authors: | Adrian Sandovici Henk de Snoo |
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Affiliation: | aDepartment of Mathematics, National College “Petru Rareş”, 610101 Piatra Neamţ, Str. Ştefan Cel Mare, Nr. 4, Romania;bDepartment of Mathematics and Computing Science, University of Groningen, P.O. Box 407, 9700 AK Groningen, The Netherlands |
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Abstract: | Let , and be linear spaces and let A and B be linear relations from to and from to , respectively. The main result of this note is a formula which relates the nullities and the defects of the relations A and B with those of the product relation BA. |
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Keywords: | Linear space Linear relation Fredholm index |
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