On the algebra of smooth operators

Published 26 Apr 2013 in math.FA | (1304.7189v1)

Abstract: Let s be the space of rapidly decreasing sequences. We give the spectral representation of normal elements in the Fr\'echet algebra L(s',s) of the so-called smooth operators. We also characterize closed commutative *-subalgebras of L(s',s) and establish a H\"older continuous functional calculus in this algebra. The key tool is the property (DN) of s.

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Authors (1)

Tomasz Ciaś

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