On the classes of ℒ^{𝜆}, quasi-ℒ^{ℰ} and ℒ^{𝜆,ℊ} spaces

Rivera, María

doi:10.1090/S0002-9939-05-07761-0

On the classes of $\mathcal {L}^\lambda$, quasi-$\mathcal {L}^E$ and $\mathcal {L}^{\lambda ,g}$ spaces
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by María J. Rivera PDF

Proc. Amer. Math. Soc. 133 (2005), 2035-2044 Request permission

Abstract:

The two better-known ways of understanding the notion of local unconditional structure allow us to define successive extensions of the well-known class of the $\mathcal {L}^p$ spaces of Lindenstrauss and Pelczyǹski. This paper also studies stability properties of these classes under ultrapowers, biduals and complemented subspaces.

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