Relationships between 𝜆-nuclearity and pseudo-𝜇-nuclearity

Robinson, William B.

doi:10.1090/S0002-9947-1975-0365086-1

Relationships between $\lambda$-nuclearity and pseudo-$\mu$-nuclearity
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Trans. Amer. Math. Soc. 201 (1975), 291-303 Request permission

Abstract:

It is shown that for any Köthe space $\lambda$, $\lambda$-nuclearity coincides with pseudo-$\lambda {\lambda ^ \times }$-nuclearity. More particular results, including a Grothendieck-Pietsch criterion for $\lambda$-nuclearity of sequence spaces, are given for Köthe spaces which are regular.

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