A comparison of two notions of porosity

• Autorzy: Filip Strobin
• Języki publikacji: EN

Abstrakty

EN

In the paper we compare two notions of porosity: the R-ball porosity \((R \rt 0)\) defined by Preiss and Zajı́ček, and the porosity which was introduced by Olevskii (here it will be called the O-porosity). We find this comparison interesting since in the literature there are two similar results concerning these two notions. We restrict our discussion to normed linear spaces since the R-ball porosity was originally defined in such spaces.

Słowa kluczowe

EN

porosity; ball smallness; normed linear space

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2008
• Tom: 48
• Numer: 2

Daty

wydano

2008

online

2017-12-19

Twórcy

autor

Filip Strobin

Identyfikatory

DOI

10.14708/cm.v48i2.5273