Fréchet differential of a power series in Banach algebras
We present two new forms in which the Fréchet differential of a power series in a unitary Banach algebra can be expressed in terms of absolutely convergent series involving the commutant \(C(T) : A \mapsto [A,T]\). Then we apply the results to study series of vector-valued functions on domains in Ba...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2010-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol30/2/art/opuscula_math_3011.pdf |