Asplund space

In mathematics specifically, in functional analysis an Asplund space or strong differentiability space is a type of well-behaved Banach space. Asplund spaces were introduced in 1968 by the mathematician Edgar Asplund, who was interested in the Fréchet differentiability properties of Lipschitz functions on Banach spaces.

Equivalent definitions

There are many equivalent definitions of what it means for a Banach space X to be an Asplund space:

Properties of Asplund spaces

References

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