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The Cayley transform of linear relations

Author(s): Mercedes Fernandez Miranda; Jean-Philippe Labrousse
Journal: Proc. Amer. Math. Soc. 133 (2005), 493-499.
MSC (2000): Primary 47A05, 47A06
Posted: August 20, 2004
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Abstract: This paper extends the definition of the Cayley transform defined for symmetric linear operators to any linear relation.

References:

1.: R. ARENS, Operational calculus of linear relations, Pacific J. Math. 11, (1961), pp. 9-23. MR 23:A517
2.: Z. BOULMAAROUF and J-Ph. LABROUSSE, The Cayley transform of linear relations, J. Egyptian Math. Soc. 2, (1994), pp. 53-65. MR 96a:47034
3.: R. CROSS, Multivalued linear operators, Marcel Dekker, Inc., New York (1998). MR 99j:47003
4.: Y. MEZROUI, Projection orthogonale sur le graphe d'une relation linéaire fermée, Trans. Amer. Math. Soc. 352(6), (2000), pp. 2789-2800. MR 2000j:47003
5.: M. Z. NASHED (ed.), General inverses and applications, Academic Press, New York (1976). MR 56:9943

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Additional Information:

Mercedes Fernandez Miranda
Affiliation: Departamento de Matemáticas, Universidad de Antofagasta, Angamos 601, Antofagasta, Chile
Email: mfernandez@uantof.cl

Jean-Philippe Labrousse
Affiliation: Université de Nice-Sophia Antipolis, Laboratoire J. A. Dieudonné, UMR du CNRS Nô 6621, Parc Valrose, Nice Cedex 02, France
Email: labro@math.unice.fr

DOI: 10.1090/S0002-9939-04-07551-3
PII: S 0002-9939(04)07551-3
Keywords: Linear relation, operator, Cayley transform
Received by editor(s): March 5, 2003
Received by editor(s) in revised form: October 15, 2003
Posted: August 20, 2004
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2004, American Mathematical Society


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