On the three-space property for locally convex spaces.

Giorgio Metafune; Vincenzo B. Moscatelli

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Singly generated ideals of locally convex spaces

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A note on embedding into product spaces

M. A. Sofi (2006)

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Using factorization properties of an operator ideal over a Banach space, it is shown how to embed a locally convex space from the corresponding Grothendieck space ideal into a suitable power of $E$ , thus achieving a unified treatment of several embedding theorems involving certain classes of locally convex spaces.

Ideals of operators on Banach spaces and nuclear locally convex spaces

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On Grothendieck space ideals.

Jesús M. Fernández Castillo (1988)

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On Grothendieck space ideals

Jesús M. Fernández Castillo (1989)

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Some permanence properties of locally convex spaces defined by norm space ideals of operators

Heikki Apiola (1976)

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Unconditional ideals in Banach spaces

G. Godefroy, N. Kalton, P. Saphar (1993)

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We show that a Banach space with separable dual can be renormed to satisfy hereditarily an “almost” optimal uniform smoothness condition. The optimal condition occurs when the canonical decomposition $X * * * = X^{⊥} \oplus X *$ is unconditional. Motivated by this result, we define a subspace X of a Banach space Y to be an h-ideal (resp. a u-ideal) if there is an hermitian projection P (resp. a projection P with ∥I-2P∥ = 1) on Y* with kernel $X^{⊥}$ . We undertake a general study of h-ideals and u-ideals. For example...