The approximation property does not imply the bounded approximation property Academic Article

abstract

• There is a Banach space which has the approximation property but fails the bounded approximation property. The space can be chosen to have separable conjugate, hence there is a nonnuclear operator on the space which has nuclear adjoint. This latter result solves a problem of Grothendieck [2]. 1973 American Mathematical Society.

authors

• Johnson, William

published proceedings

• Proceedings of the American Mathematical Society

altmetric score

• 3

author list (cited authors)

• Figiel, T., & Johnson, W. B.

citation count

• 50

complete list of authors

• Figiel, T||Johnson, WB

publication date

• January 1973

publisher

• American Mathematical Society (AMS)  Publisher

published in

• Proceedings of the American Mathematical Society  Journal

Digital Object Identifier (DOI)

• 10.1090/s0002-9939-1973-0341032-5

start page

• 197

end page

• 200

volume

• 41

issue

• 1

URL

• http://dx.doi.org/10.1090/s0002-9939-1973-0341032-5