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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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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Abstract 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 ).
AbstractList 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 ).
Author Pérez, Sergio A.
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10.1016/j.jfa.2010.04.001
10.1007/978-3-642-66557-8
10.1016/j.jat.2004.01.008
10.1090/S0002-9939-1989-0930249-6
10.1090/S0002-9939-1984-0728358-5
10.1016/0022-1236(79)90042-9
10.1007/978-3-662-35347-9
10.1007/BF01078599
10.1007/BF02392270
10.1016/0022-1236(76)90026-4
10.1007/BF02385668
10.1007/s10587-015-0181-6
10.1007/BF02882238
10.1112/jlms/s1-11.3.174
10.1007/978-1-4471-0869-6
10.1090/memo/0016
10.4064/sm-123-2-165-173
10.4064/sm-19-2-209-228
10.1007/s13398-012-0065-7
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Keywords Compact operator
46B28
Approximation property
Homogeneous polynomial
Banach space
Linear operator
46G25
Complemented subspace
Language English
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Dineen, Mujica (CR8) 2004; 126
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Dineen, Mujica (CR9) 2010; 259
CR10
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F Blasco (335_CR4) 1997; 123
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SubjectTerms Applications of Mathematics
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
Title Banach spaces of linear operators and homogeneous polynomials without the approximation property
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