On the defect spectrum of an extension of a Banach space operator

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作者
Vladimír Kordula
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[1] (Mathematický ústav AV ČR),
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Differential Equation; Mathematical Modeling; Banach Space; Ordinary Differential Equation; Industrial Mathematic;
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摘要
Let T be an operator acting on a Banach space X. We show that between extensions of T to some Banach space Y ⊃ X which do not increase the defect spectrum (or the spectrum) it is possible to find an extension with the minimal possible defect spectrum.
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页码:609 / 616
页数:7
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