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An index formula for the product of linear relations
Authors:Adrian Sandovici  Henk de Snoo  
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
Abstract:Let View the MathML source, and View the MathML source be linear spaces and let A and B be linear relations from View the MathML source to View the MathML source and from View the MathML source to View the MathML source, 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.
Keywords:Linear space   Linear relation   Fredholm index
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