On Polynomially Bounded Operators with Rich Spectrum
نویسندگان
چکیده
منابع مشابه
Polynomially Unbounded Product of Two Polynomially Bounded Operators
where S is a unilateral forward shift of infinite multiplicity, S∗ is its adjoint, and Yα is a matrix (αi+jCi+j ), with {αk}k∈N a sequence of complex numbers, and {Ck}k∈N a family of operators satisfying the “canonical anticommutation relations”. We exhibit a sequence {αk} such that T is polynomially bounded but T⊗T is not. This shows that the product of two commuting polynomially bounded opera...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.2307/2160949