SPECTRAL INTEGRATION AND SPECTRAL THEORY FOR NON-ARCHIMEDEAN BANACH SPACES
作者： S. Ludkovsky , B. Diarra
DOI: 10.1155/S016117120201150X
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摘要: Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators may be nonanalytic. There different types of spaces nonArchimedean fields. We have determined the spectrum some closed commutative subalgebras algebra (E) continuous linear on a free space E generated by projectors. investigate spectral integration algebras. define measure and prove several properties. analog Stone theorem. It also contains case C-algebras C∞(X, K). particular representation C-algebra with help L( ˆ A, µ, K)-projection-valued measure. consider theorems for families commuting space.
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