ar X iv : m at h / 06 10 07 7 v 1 [ m at h . FA ] 2 O ct 2 00 6 COMPOSITION OPERATORS WITHIN SINGLY GENERATED COMPOSITION C ∗ - ALGEBRAS
نویسنده
چکیده
Let φ be a linear-fractional self-map of the open unit disk D, not an automorphism, such that φ(ζ) = η for two distinct points ζ, η in the unit circle ∂D. We consider the question of which composition operators lie in C∗(Cφ,K), the unital C∗-algebra generated by the composition operator Cφ and the ideal K of compact operators, acting on the Hardy space H.
منابع مشابه
ar X iv : m at h / 02 06 04 1 v 3 [ m at h . FA ] 5 O ct 2 00 2 Abstract harmonic analysis , homological algebra , and operator spaces
harmonic analysis, homological algebra, and operator spaces
متن کاملar X iv : m at h / 06 10 98 4 v 1 [ m at h . C O ] 3 1 O ct 2 00 6 COLORED POSETS AND COLORED QUASISYMMETRIC FUNCTIONS
The colored quasisymmetric functions, like the classic quasisymmetric functions, are known to form a Hopf algebra with a natural peak subalgebra. We show how these algebras arise as the image of the algebra of colored posets. To effect this approach we introduce colored analogs of P -partitions and enriched P -partitions. We also frame our results in terms of Aguiar, Bergeron, and Sottile’s the...
متن کاملar X iv : h ep - l at / 0 11 00 06 v 1 2 O ct 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions
متن کامل
ar X iv : h ep - l at / 0 11 00 06 v 2 3 O ct 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions
متن کامل
ar X iv : m at h / 06 09 42 6 v 3 [ m at h . C O ] 1 5 O ct 2 00 6 SUM - PRODUCT ESTIMATES IN FINITE FIELDS VIA KLOOSTERMAN
We establish improved sum-product bounds in finite fields using incidence theorems based on bounds for classical Kloosterman and related sums.
متن کامل