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Automorphisms of the Toeplitz algebra with piecewise continuous symbol

✍ Scribed by Congquan Yan; Shunhua Sun; Xuanhao Ding


Publisher
SP Science China Press
Year
2001
Tongue
English
Weight
266 KB
Volume
44
Category
Article
ISSN
1674-7283

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πŸ“œ SIMILAR VOLUMES


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During the last fifteen years it has become clear that local principles are a powerful tool in investigating FREDHO LM properties of singular integral operators and TOEPLITZ operators\*). We remind here only of the local methods of I. B. SIMONENKO [15], [lG], V. S. PILIDI [12], R. G. DOUGLAS [i] and

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## Abstract A symbol calculus for the smallest Banach subalgebra π’œ~[__SO,PC__]~ of the Banach algebra ℬ︁(__L^n^~p~__(ℝ)) of all bounded linear operators on the Lebesgue spaces __L^n^~p~__(ℝ) (1 < __p__ < ∞, __n__ β‰₯ 1) which contains all the convolution type operators __W~a,b~__ = __a__β„±^βˆ’1^__b__β„± w