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Real Hamiltonian Polar Decompositions

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

Book ID
118216319
Publisher
Society for Industrial and Applied Mathematics
Year
2001
Tongue
English
Weight
145 KB
Volume
22
Category
Article
ISSN
0895-4798

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## Abstract We show that for any real number __t__ with __t__ ≠ ±1, every invertible operator __M__ on a Hilbert space admits a new polar decomposition __M__ = __PUP^–t^__ where __P__ is positive definite and __U__ is unitary, and that the corresponding polar map is homeomorphism. The positive defi