Retracting a ball onto a sphere in some Banach spaces

Piasecki, Łukasz

doi:10.1016/j.na.2010.08.050

Cited by 7 publications

(5 citation statements)

References 10 publications

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“…Among them are spaces of continuous functions C [a, b], bounded continuous functions BC(R), sequences converging to zero c 0 , all of them endowed with the standard uniform norm (see [7]). Recently the present author [13] proved that also the space c of converging sequences with the sup norm has extremal balls. It is still unknown if the space l ∞ of all bounded sequences with the sup norm has extremal balls.…”

Section: We Say That a Mapping T : C → C Satisfies The Lipschitz Condmentioning

confidence: 87%

Renormings of c0 and the minimal displacement problem

Piasecki¹

2014

Annales UMCS, Mathematica

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Section: We Say That a Mapping T : C → C Satisfies The Lipschitz Condmentioning

confidence: 87%

Renormings of c0 and the minimal displacement problem

Piasecki¹

2014

Annales UMCS, Mathematica

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“…. The same holds for all, the so-called extremal cut-invariant, subspaces B(K) of bounded functions on an infinite set K, see [11].…”

mentioning

confidence: 87%

Remarks on retracting balls on spherical caps in \(c_{0}\), \(c\), \(l^{\infty }\) spaces

Goebel

2020

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“…The literature on these topics is quite vast, see e.g. [5,9,16,17,21,27] and references therein. In [9] the sharpenning of the Lipschitz constant in Lin-Sternfeld's result was observed.…”

Section: Introductionmentioning

confidence: 99%

Neritidae (Gastropoda, Neritimorpha) From the Malacological Collection Prof. Henry Ramos Matthews of the Universidade Federal Do Ceará, Brazil

Rocha‐Barreira¹,

Matthews-Cascon²

2021

ACMAR

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The basic information obtained from scientific collections help us to understanding of Earth’s diverse biota and its biological processes. The Malacological Collection Prof. Henry Ramos Matthews (CMPHRM) of the Universidade Federal do Ceará (UFC), Brazil, is a reference about the biodiversity, mainly marine, of northeastern Brazil. In this collection, the gastropod molluscs of the family Neritidae were among the most representative in number of lots. Since an accurate geographical distribution knowledge is one of the fundamental factors to the study of biodiversity, the present study aimed to describe the composition and spatially analyse the neritids deposited in the CMPHRM/UFC. There is a total of 314 lots of the Neritidae deposited at CMPHRM, belonging to eight species (Nerita chamaeleon, Nerita chlorostoma, Nerita fulgurans, Nerita tessellata, Neritina virginea, Neritina meleagris, Neritina zebra, and Smaragdia viridis). The Malacological Collection Prof. Henry Ramos Matthews of the Universidade Federal do Ceará has representatives of all species of Neritidae recorded in the Brazilian Province, which are important for confirming previous records or establishing new occurrence records. Keywords: Neritina, Nerita, Smaragdia, Brazilian Province

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Retracting a ball onto a sphere in some Banach spaces

Cited by 7 publications

References 10 publications

Renormings of c0 and the minimal displacement problem

Renormings of c0 and the minimal displacement problem

Remarks on retracting balls on spherical caps in \(c_{0}\), \(c\), \(l^{\infty }\) spaces

Neritidae (Gastropoda, Neritimorpha) From the Malacological Collection Prof. Henry Ramos Matthews of the Universidade Federal Do Ceará, Brazil

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