Parabolic systems: the ${\rm GF}(3)$-case
نویسندگان
چکیده
منابع مشابه
Parabolic Systems : the Gf ( 3 ) Case
Parabolic systems defined over GF(q) have been classified by Timmesfeld for q > 4 and by Stroth for q = 2 (see references). We deal with the case q = 3 . Parabolic systems have been classified by Niles, Timmesfeld, Stroth, and Heiss, if the field of definition is G F (2) or has at least four elements. [Ni, Timl, Tim2, Tim5, Tim7, Stl, St2, St3, He]. We treat the GF(3) case, where only partial r...
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Shilov Parabolic Systems
AMS Mathematics Subject Classification (2000): 47D06, 47D60, 47D62
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PARABOLIC SYSTEMS 185 such that u = F(F 1u). We de ne u(A) 2 B(X) by (1:3) u(A)x = ZRn(F 1u)( )e i( ;A)x d for x 2 X: De ne MN (FL1) = f(ujk); ujk 2 FL1g. Similarly, MN(Lp) and so on. If u = (ujk) 2 MN(FL1) then u(A) (ujk(A)) 2 B(XN ). It is known that MN (FL1) is a (non-commutative) Banach algebra under matrix pointwise multiplication and addition with norm kukFL1 kF 1ukL1 , where F 1u = (F 1u...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1993
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1993-1100697-8