On strong proximinality in normed linear spaces

• Autorzy: Sahil Gupta , T. D. Narang
• Języki publikacji: EN

Abstrakty

EN

The paper deals with strong proximinality in normed linear spaces. It is proved that in  a compactly locally uniformly rotund Banach space, proximinality, strong proximinality, weak approximative compactness and  approximative compactness are all equivalent for closed convex sets. How strong proximinality can be transmitted to and from quotient spaces has also been discussed.

Słowa kluczowe

EN

Strongly proximinal set; approximatively compact set; strongly Chebyshev set; compactly locally uniformly rotund space

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2016
• Tom: 70
• Numer: 1

Daty

wydano

2016

online

2016-07-04

Twórcy

autor

Sahil Gupta

autor

T. D. Narang

Bibliografia

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Identyfikatory

DOI

10.17951/a.2016.70.1.19