Abstract
This paper characterizes the Banach algebras of continuous functions on which the spectral factorization mapping is continuous or bounded. It is shown that is continuous if and only if the Riesz projection is bounded on the algebra, and that is bounded only if the algebra is isomorphic to the algebra of continuous functions. Consequently, can never be both continuous and bounded, on any algebra under consideration.
Original language | English |
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Pages (from-to) | 131-145 |
Number of pages | 15 |
Journal | Studia Mathematica |
Volume | 189 |
Issue number | 2 |
DOIs | |
State | Published - 2008 |
Externally published | Yes |
Keywords
- Boundedness
- Continuity
- Non-linear operators
- Spectral factorization