Download e-book for kindle: 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 stimulated by way of the areas LP, zero ≤ p < l. those areas will not be in the neighborhood convex, so the tools often encountered in linear research (particularly the Hahn–Banach theorem) don't observe the following. questions on the dimensions of the twin house are specially vital within the non-locally convex environment, and are a relevant topic. numerous of the classical difficulties within the quarter were settled within the final decade, and a couple of their ideas are offered right here. The e-book starts with concrete examples (lp, LP, L0, HP) ahead of occurring to common effects and critical counterexamples. An F-space sampler should 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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