An F-space Sampler (London Mathematical Society Lecture Note - download pdf or read online

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

This e-book offers a thought stimulated by way of the areas LP, zero ≤ p < l. those areas aren't in the neighborhood convex, so the equipment frequently encountered in linear research (particularly the Hahn–Banach theorem) don't follow right here. questions about the scale of the twin area are specifically vital within the non-locally convex surroundings, and are a valuable subject matter. a number of of the classical difficulties within the region were settled within the final decade, and a few their strategies are awarded the following. The publication starts with concrete examples (lp, LP, L0, HP) prior to happening to basic effects and critical counterexamples. An F-space sampler should be of curiosity to investigate mathematicians and graduate scholars in practical 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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