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Stability of self-adjoint square roots and polar decompositions in indefinite scalar product spaces

✍ Scribed by Cornelis V.M. van der Mee; André C.M. Ran; Leiba Rodman


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
230 KB
Volume
302-303
Category
Article
ISSN
0024-3795

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✦ Synopsis


Continuity properties of factors in polar decompositions of matrices with respect to inde®nite scalar products are studied. The matrix having the polar decomposition and the inde®nite scalar product are allowed to vary. Closely related properties of a self-adjoint (with respect to an inde®nite scalar product) perturbed matrix to have a self-adjoint square root, or to have a representation of the form à , are also studied.