Banach spaces of linear operators and homogeneous polynomials without the approximation property

We present many examples of Banach spaces of linear operators and homogeneous polynomials without the approximation property, improving results of Dineen and Mujica (Czechoslovak Math. J. 65(140): 367–374, 2015 ) and Godefroy and Saphar (Proc Am Math Soc 105:70–75, 1989 ).

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Bibliographic Details
Published inRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Vol. 111; no. 3; pp. 855 - 862
Main Author Pérez, Sergio A.
Format Journal Article
LanguageEnglish
Published Milan Springer Milan 01.07.2017
Subjects
Applications of Mathematics
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
Compact operator
46B28
Approximation property
Homogeneous polynomial
Banach space
Linear operator
46G25
Complemented subspace
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Summary:We present many examples of Banach spaces of linear operators and homogeneous polynomials without the approximation property, improving results of Dineen and Mujica (Czechoslovak Math. J. 65(140): 367–374, 2015 ) and Godefroy and Saphar (Proc Am Math Soc 105:70–75, 1989 ).
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-016-0335-x