Continuity versus boundedness of the spectral factorization mapping
نویسندگان
چکیده
منابع مشابه
On the continuity of the J -spectral factorization mapping
The continuity of the mapping which associates a J-spectral factor to a spectral density is analyzed. For the class of essentially bounded functions on the imaginary axis that are bounded away from zero it is well known that this mapping, even for the scalar case, is not continuous. In this paper three results concerning the continuity of the mapping which associates a J-spectral factor to a sp...
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چکیده ندارد.
15 صفحه اول$n$-factorization Property of Bilinear Mappings
In this paper, we define a new concept of factorization for a bounded bilinear mapping $f:Xtimes Yto Z$, depended on a natural number $n$ and a cardinal number $kappa$; which is called $n$-factorization property of level $kappa$. Then we study the relation between $n$-factorization property of level $kappa$ for $X^*$ with respect to $f$ and automatically boundedness and $w^*$-$w^*$-continuity...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2008
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm189-2-4