Inductive limit of operators and its applications
J. Janas (1988)
Studia Mathematica
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J. Janas (1988)
Studia Mathematica
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A. Pełczyński (1967)
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K. Moszyński (1978)
Banach Center Publications
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Michele Campiti (1992)
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J. Manuceau, A. Verbeure (1972)
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Esser, Martinus (1958)
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M. Gil (1992)
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Let A be a closed linear operator acting in a separable Hilbert space. Denote by co(A) the closed convex hull of the spectrum of A. An estimate for the norm of f(A) is obtained under the following conditions: f is a holomorphic function in a neighbourhood of co(A), and for some integer p the operator is Hilbert-Schmidt. The estimate improves one by I. Gelfand and G. Shilov.
S. Kwapień (1972)
Studia Mathematica
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Stanisław Kwapień, Stanisław Szarek (1979)
Studia Mathematica
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