Download e-book for iPad: An F-space Sampler (London Mathematical Society Lecture Note by N. J. Kalton,N. T. Peck,James W. Roberts

By N. J. Kalton,N. T. Peck,James W. Roberts

This booklet offers a thought prompted through the areas LP, zero ≤ p < l. those areas should not in the community convex, so the tools often encountered in linear research (particularly the Hahn–Banach theorem) don't practice the following. questions on the scale of the twin house are specifically vital within the non-locally convex surroundings, and are a crucial subject. a number of of the classical difficulties within the region were settled within the final decade, and a couple of their suggestions are offered right here. The booklet starts with concrete examples (lp, LP, L0, HP) ahead of happening to common effects and critical counterexamples. An F-space sampler may be of curiosity to investigate mathematicians and graduate scholars in sensible analysis.

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An F-space Sampler (London Mathematical Society Lecture Note Series) by N. J. Kalton,N. T. Peck,James W. Roberts

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