COMPACTNESS OF THE COMMUTATOR OF BILINEAR FOURIER MULTIPLIER OPERATOR
نویسندگان
چکیده
منابع مشابه
Bilinear Fourier integral operator and its boundedness
We consider the bilinear Fourier integral operatorS(f, g)(x) =ZRdZRdei1(x,)ei2(x,)(x, , ) ˆ f()ˆg()d d,on modulation spaces. Our aim is to indicate this operator is well defined onS(Rd) and shall show the relationship between the bilinear operator and BFIO onmodulation spaces.
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Not much has been known about these spaces except for some special cases. It was known since 1953 that every operator A ∈ B(H) is the sum of two commutators of bounded linear operators [35], [16] while the commutator spaces of Schatten ideals Lp , p > 0, were the subject of several studies over the last 30 years, notably [49], [66], [3], [68], [67], [4], [38] and [18]. Aside from these efforts,...
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Additive commutators of operators belonging to two{sided ideals of B(H) are studied. J){commutators is characterized and found to equal IJ ; B(H)]. It is shown that three commutators are enough in I; B(H)], and that four are enough in I; J ]. Finally, some results about single commutators are proved, for example that every element of the Schatten class C p is a single (C p ; B(H)){commutator if...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2014
ISSN: 1027-5487
DOI: 10.11650/tjm.18.2014.3676