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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 ebook provides a thought stimulated through the areas LP, zero ≤ p < l. those areas aren't in the neighborhood convex, so the equipment often encountered in linear research (particularly the Hahn–Banach theorem) don't follow right here. questions on the scale of the twin house are particularly vital within the non-locally convex surroundings, and are a important topic. numerous of the classical difficulties within the region were settled within the final decade, and a couple of their ideas are awarded right here. The publication starts with concrete examples (lp, LP, L0, HP) ahead of occurring to basic effects and critical counterexamples. An F-space sampler can be of curiosity to investigate mathematicians and graduate scholars in sensible analysis.

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