## Some properties of $$l^{p}(A,X)$$ spaces.(English)Zbl 1168.46301

Summary: We provide a representation of elements of the space $$l^{p}(A,X)$$ for a locally convex space $$X$$ and $$1\leq p<\infty$$ and determine its continuous dual for a normed space $$X$$ and $$1<p<\infty$$. In particular, we study the extension and characterization of isometries on $$l^{p}(\mathbb N,X)$$, when $$X$$ is a normed space with an unconditional basis and with a symmetric norm.

### MSC:

 46A45 Sequence spaces (including Köthe sequence spaces) 46B45 Banach sequence spaces
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### References:

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