Ultraregular inductive limits
An inductive limit E=indlim En is ultraregular if it is regular and each set B⊂En, which is bounded in E, is also bounded in En. A necessary and sufficient condition for ultraregularity of E is given provided each En is an LF-space which is closed in En+1.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171290000072 |