A new variation of Weyl type theorems and perturbations
نویسندگان
چکیده
منابع مشابه
the investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Variations of Weyl Type Theorems
A Banach space operator T satisfies property(Bgw), a variant property(gw), if the complement in the approximate point spectrum σa(T ) of the semi-B-essential approximate point spectrum σSBF− + (T ) coincides with set of isolated eigenvalues of T of finite multiplicity E(T ). We also introduce properties (Bb), and property (Bgb) in connection with Weyl type theorems, which are analogous, respect...
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15 صفحه اولPerturbations of Weyl Sums
Write fk(α;X) = ∑ x6X e(α1x + . . . + αkx ) (k > 3). We show that there is a set B ⊆ [0, 1)k−2 of full measure with the property that whenever (α2, . . . , αk−1) ∈ B and X is sufficiently large, then sup (α1,αk)∈[0,1) |fk(α;X)| 6 X1/2+4/(2k−1). For k > 5, this improves on work of Flaminio and Forni, in which a Diophantine condition is imposed on αk, and the exponent of X is 1−2/(3k(k−1)).
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ژورنال
عنوان ژورنال: Filomat
سال: 2014
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1409899s