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The Classes [M], A, P and Pε

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Geometry of Müntz Spaces and Related Questions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1870))

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Abstract

In this chapter we study more general classes of subspaces of C[0, 1] which contain the class of Müntz spaces and we discuss theorems on compactness (11.1.2 and 11.2.6) as well as on interpolation (11.3.1). Moreover, we investigate which of these spaces can be embedded into c0. Finally we deal with notions of universality for Müntz sequences and spaces.

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© 2005 Springer-Verlag Berlin/Heidelberg

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I. Gurariy, V., Lusky, W. (2005). The Classes [M], A, P and Pε. In: Geometry of Müntz Spaces and Related Questions. Lecture Notes in Mathematics, vol 1870. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11551621_11

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