Local automorphisms of standard operator algebras |
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| Authors: | Peter Šemrl |
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| Institution: | Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia |
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| Abstract: | Let X be an infinite-dimensional separable real or complex Banach space and A a closed standard operator algebra on X. Then every local automorphism of A is an automorphism. The assumptions of infinite-dimensionality, separability, and closeness are all indispensable. |
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| Keywords: | Local automorphism Standard operator algebra |
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