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 publication provides a conception inspired via the areas LP, zero ≤ p < l. those areas aren't in the neighborhood convex, so the tools frequently encountered in linear research (particularly the Hahn–Banach theorem) don't follow right here. questions about the scale of the twin house are specifically very important within the non-locally convex environment, and are a crucial subject matter. a number of of the classical difficulties within the sector were settled within the final decade, and a couple of their options are offered right here. The publication starts with concrete examples (lp, LP, L0, HP) ahead of occurring to common effects and significant counterexamples. An F-space sampler could be of curiosity to investigate mathematicians and graduate scholars in sensible analysis.

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