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Journal of the London Mathematical Society 1980 s2-22(2):245-250; doi:10.1112/jlms/s2-22.2.245
© 1980 by London Mathematical Society
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© Oxford University Press

Closed Graph Theorem for Quadratic Spaces

Gabriel M. M. Obi

Computer Science Unit, University of Benin Benin City, Nigeria

An algebraic version of the Closed Graph Theorem is proved. This yields a characterization of orthocontinuous linear transformations on quadratic spaces and also settles an open question as to whether or not an everywhere defined closed linear operator on a quadratic space is orthocontinuous.


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