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pontryagin spaces

Proceedings of the Edinburgh Mathematical Society (1)

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RIGHT SEMIDEFINITE EIGENVALUE PROBLEMS
Paul Binding, Hans Volkmer
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 46 / Issue 3 / October 2003

Published online by Cambridge University Press:

10 December 2003, pp. 561-573
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The relationships between various notions of completeness of eigenvectors and root vectors of the eigenvalue problem $Af=\lambda Bf$ are investigated. Here $A$ and $B$ are self-adjoint operators in Hilbert space with $B$ bounded and positive semidefinite, and with $A$ having compact resolvent.
AMS 2000 Mathematics subject classification: Primary 47A75. Secondary 34B24; 35P10