✦ LIBER ✦

S. W. Bushell

✍ Scribed by H. Cordier

Book ID: 125583951
Publisher: Brill
Year: 1908
Tongue: English
Weight: 152 KB
Volume: 9
Category: Article
ISSN: 0082-5433
DOI: 10.2307/4526018

No coin nor oath required. For personal study only.

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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