Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

G-narrow operators and G-rich subspaces

100%

Ivashyna T.

Open Mathematics

2013

tom 11

nr 9

1677-1688

Let X and Y be Banach spaces. An operator G: X → Y is a Daugavet center if ‖G +T‖ = ‖G‖+‖T‖ for every rank-1 operator T. For every Daugavet center G we consider a certain set of operators acting from X, so-called G-narrow operators. We prove that if J is the natural embedding of Y into a Banach space E, then E can be equivalently renormed so that an operator T is (J ○ G)-narrow if and only if T is G-narrow. We study G-rich subspaces of X: Z ⊂ X is called G-rich if the quotient map q: X → X/Z is G-narrow.

Ograniczanie wyników

1 Open Mathematics

1 Ivashyna T.

1 2013

Wyniki wyszukiwania

G-narrow operators and G-rich subspaces