Grothendieck spaces in approximation theory / by Jörg Blatter.

Format:

Book

Author/Creator:

Blatter, Jörg, author.

Series:

Memoirs of the American Mathematical Society ; no. 120.

Memoirs of the American Mathematical Society ; number 120

Language:

English

Subjects (All):

Approximation theory.

Function spaces.

Physical Description:

1 online resource (127 p.)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, 1972.

Language Note:

English

Contents:

""Contents""; ""Introduction""; ""Preliminaries""; ""Chapter one. Grothendieck spaces""; ""Definition. Characterization in the real case""; ""Tensor product representation""; ""Characterization by invariance properties""; ""Weierstrass-Stone and Kakutani-Stone theorems""; ""Chapter two. A selection theorem""; ""Chapter three. Best approximation by Grothendieck spaces""; ""Best approximation and selection""; ""Best approximation by Grothendieck spaces""; ""Best approximation by Weierstrass-Stone and Kakutani-Stone spaces""

""The problem of best approximation by the canonical image of a Banach space in its second dual""""Appendix. Compactness, infima of functions and the existence of best approximations""; ""Bibliography""

Notes:

Cover title.

Bibliography: pages 114-121.

Description based on print version record.

ISBN:

0-8218-9918-X