# Properly semi-L-embedded complex spaces

Studia Mathematica (1993)

- Volume: 106, Issue: 2, page 197-202
- ISSN: 0039-3223

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topRodríguez Palacios, Angel. "Properly semi-L-embedded complex spaces." Studia Mathematica 106.2 (1993): 197-202. <http://eudml.org/doc/216013>.

@article{RodríguezPalacios1993,

abstract = {We prove the existence of complex Banach spaces X such that every element F in the bidual X** of X has a unique best approximation π(F) in X, the equality ∥F∥ = ∥π (F)∥ + ∥F - π (F)∥ holds for all F in X**, but the mapping π is not linear.},

author = {Rodríguez Palacios, Angel},

journal = {Studia Mathematica},

keywords = {properly semi--embedded complex spaces; semi--summands; bidual; unique best approximation},

language = {eng},

number = {2},

pages = {197-202},

title = {Properly semi-L-embedded complex spaces},

url = {http://eudml.org/doc/216013},

volume = {106},

year = {1993},

}

TY - JOUR

AU - Rodríguez Palacios, Angel

TI - Properly semi-L-embedded complex spaces

JO - Studia Mathematica

PY - 1993

VL - 106

IS - 2

SP - 197

EP - 202

AB - We prove the existence of complex Banach spaces X such that every element F in the bidual X** of X has a unique best approximation π(F) in X, the equality ∥F∥ = ∥π (F)∥ + ∥F - π (F)∥ holds for all F in X**, but the mapping π is not linear.

LA - eng

KW - properly semi--embedded complex spaces; semi--summands; bidual; unique best approximation

UR - http://eudml.org/doc/216013

ER -

## References

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