Measures of Weak Noncompactness in Banach Sequence Spaces

@inproceedings{MartinnMeasuresOW,
  title={Measures of Weak Noncompactness in Banach Sequence Spaces},
  author={Antonio Martin{\'o}n}
}
Based on a criterion for weak compactness in the ` product of the sequence of Banach spaces Ei, i = 1, 2, . . ., we construct a measure of weak noncompactness in this space. It is shown that this measure is regular but not equivalent to the De Blasi measure of weak noncompactness provided the spaces Ei have the Schur property. Apart from this a formula for the De Blasi measure in the sequence space c0(Ei) is also derived. 1 – Introduction The notion of a measure of weak noncompactness was… CONTINUE READING