On Pitt’s Theorem for Operators between Scalar and Vector-Valued Quasi-Banach Sequence Spaces
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- Defant, A., Molina, J. & Rivera, M. Mh Math (2000) 130: 7. doi:10.1007/s006050050083
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We find natural conditions under which all continuous linear operators between two scalar or vector-valued quasi-Banach sequence spaces are compact. In the case of scalar-valued Banach sequence spaces we show that all such operators essentially factorize through diagonal operators between suitable \(\)-spaces.