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On the Unitary Invariants of a Square Matrix

✍ Scribed by Francis D. Murnaghan


Book ID
123667593
Publisher
National Academy of Sciences
Year
1932
Tongue
English
Weight
175 KB
Volume
18
Category
Article
ISSN
0027-8424

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Let H=L 2 ((0, ), dx), and K \* f (x)= f (\*x), for \*>0, f # H. An invariant operator on H is one commuting with all the K \* . A skew root is a self-adjoint, unitary operator on H satisfying T 2 =I, and TK \* =K \* \*T, for all \*>0. A generator g is an element of H such that the smallest, closed