# p-Envelopes of non-locally convex F-spaces

Annales Polonici Mathematici (1992)

- Volume: 57, Issue: 2, page 121-134
- ISSN: 0066-2216

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topC. M. Eoff. "p-Envelopes of non-locally convex F-spaces." Annales Polonici Mathematici 57.2 (1992): 121-134. <http://eudml.org/doc/262488>.

@article{C1992,

abstract = {The p-envelope of an F-space is the p-convex analogue of the Fréchet envelope. We show that if an F-space is locally bounded (i.e., a quasi-Banach space) with separating dual, then the p-envelope coincides with the Banach envelope only if the space is already locally convex. By contrast, we give examples of F-spaces with are not locally bounded nor locally convex for which the p-envelope and the Fréchet envelope are the same.},

author = {C. M. Eoff},

journal = {Annales Polonici Mathematici},

keywords = {p-envelope; non-locally convex F-space; multiplier; -envelope of an -space; -convex analogue of the Fréchet envelope; locally bounded; quasi-Banach space; separating dual},

language = {eng},

number = {2},

pages = {121-134},

title = {p-Envelopes of non-locally convex F-spaces},

url = {http://eudml.org/doc/262488},

volume = {57},

year = {1992},

}

TY - JOUR

AU - C. M. Eoff

TI - p-Envelopes of non-locally convex F-spaces

JO - Annales Polonici Mathematici

PY - 1992

VL - 57

IS - 2

SP - 121

EP - 134

AB - The p-envelope of an F-space is the p-convex analogue of the Fréchet envelope. We show that if an F-space is locally bounded (i.e., a quasi-Banach space) with separating dual, then the p-envelope coincides with the Banach envelope only if the space is already locally convex. By contrast, we give examples of F-spaces with are not locally bounded nor locally convex for which the p-envelope and the Fréchet envelope are the same.

LA - eng

KW - p-envelope; non-locally convex F-space; multiplier; -envelope of an -space; -convex analogue of the Fréchet envelope; locally bounded; quasi-Banach space; separating dual

UR - http://eudml.org/doc/262488

ER -

## References

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