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 means of the areas LP, zero ≤ p < l. those areas will not be in the community convex, so the equipment often encountered in linear research (particularly the Hahn–Banach theorem) don't practice the following. questions about the dimensions of the twin house are specifically vital within the non-locally convex atmosphere, and are a principal topic. numerous of the classical difficulties within the sector were settled within the final decade, and a few their ideas are provided the following. The publication starts with concrete examples (lp, LP, L0, HP) ahead of occurring to normal effects and significant counterexamples. An F-space sampler should be of curiosity to analyze 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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