On the existence of strongly series summable Markuschevich bases in Banach spaces Academic Article

abstract

• The main result is: Let X be a complex separable Banach space. If the identity operator on X* is the limit in the strong operator topology of a uniformly bounded net of linear operators of finite rank, then X admits a strongly series summable Markuschevich basis. 1971 American Mathematical Society.

authors

• Johnson, William

published proceedings

• Transactions of the American Mathematical Society

author list (cited authors)

• Johnson, W. B.

citation count

• 18

complete list of authors

• Johnson, William B

publication date

• January 1971

publisher

• American Mathematical Society (AMS)  Publisher

published in

• Transactions of the American Mathematical Society  Journal

Digital Object Identifier (DOI)

• 10.1090/s0002-9947-1971-0282201-5

start page

• 481

end page

• 486

volume

• 157

URL

• http://dx.doi.org/10.1090/s0002-9947-1971-0282201-5