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- W2055943668 abstract "A criterion was recently given in [13] which characterizes weak compactness of the integration map f ↦ ∝ f dP , for f ϵ L 1 ( P ), associated with a spectral measure P . In this note a criterion is established for integration maps associated with indefinite spectral integrals, that is, for operatorvalued measures of the type Q : E ↦ ∝ E f dP for some f ϵ L 1 ( P ). Such measures are of some interest when considering for P the resolution of the identity of a compact, scalar-type spectral operator acting in a Banach space, [8, 9]." @default.
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- W2055943668 date "1995-01-01" @default.
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- W2055943668 title "Weak compactness of integration maps associated with indefinite integrals of spectral measures" @default.
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- W2055943668 doi "https://doi.org/10.1016/0019-3577(96)81763-0" @default.
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