A Class of Invariant Unitary Operators
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Luis BΓ‘ez-Duarte
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Article
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1999
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Elsevier Science
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English
β 117 KB
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