Boundedness of pseudodifferential operators of a C*-algebra-valued symbol
2005 ◽
Vol 135
(6)
◽
pp. 1279-1286
Keyword(s):
Let us consider the set SA(Rn) of rapidly decreasing functions G: Rn → A, where A is a separable C*-algebra. We prove a version of the Calderón–Vaillancourt theorem for pseudodifferential operators acting on SA(Rn) whose symbol is A-valued. Given a skew-symmetric matrix, J, we prove that a pseudodifferential operator that commutes with G(x + JD), G ∈ SA(Rn), is of the form F(x − JD), for F a C∞-function with bounded derivatives of all orders.
1992 ◽
Vol 31
(1-4)
◽
pp. 57-70
◽
Keyword(s):
2013 ◽
pp. 1424-1424
2011 ◽
2002 ◽
Vol 02
(01)
◽
pp. 93-107
◽
Keyword(s):