Abstract
Generally speaking, an openator is a mapping from a topological vector space into itself. Thus, one of the main features in the theory of operators is the simultaneous availability of topological and vectorial structures. Euclidean spaces provide a prominent class of topological vector spaces, where the theory of operators becomes specially fruitful since in this case we have a vector space with a finite dimension, and a topological structure linked to the notion of inner product.
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© 1992 Springer-Verlag Berlin Heidelberg
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Villar, A. (1992). Operators in Euclidean Spaces: Eight Selected Problems. In: Operator Theorems with Applications to Distributive Problems and Equilibrium Models. Lecture Notes in Economics and Mathematical Systems, vol 377. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45711-1_1
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DOI: https://doi.org/10.1007/978-3-642-45711-1_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55087-7
Online ISBN: 978-3-642-45711-1
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