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Hermitian operators on Lipschitz function spaces

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Botelho F., Jamison J., Jiménez-Vargas A., Villegas-Vallecillos M.

Studia Mathematica

2013

tom 215

nr 2

127-137

This paper characterizes the hermitian operators on spaces of Banach-valued Lipschitz functions.

Averages of uniformly continuous retractions

100%

Jiménez-Vargas A., Mena-Jurado J. F., Nahum R., Navarro-Pascual J. C.

Studia Mathematica

1999

tom 135

nr 1

75-81

Let X be an infinite-dimensional complex normed space, and let B and S be its closed unit ball and unit sphere, respectively. We prove that the identity map on B can be expressed as an average of three uniformly retractions of B onto S. Moreover, for every 0≤ r < 1, the three retractions are Lipschitz on rB. We also show that a stronger version where the retractions are required to be Lipschitz does not hold.

Ograniczanie wyników

2 Studia Mathematica

2 Jiménez-Vargas A.

1 Botelho F.

1 Jamison J.

1 Mena-Jurado J. F.

1 Nahum R.

1 Navarro-Pascual J. C.

1 Villegas-Vallecillos M.

1 2013

1 1999

Wyniki wyszukiwania

Hermitian operators on Lipschitz function spaces

Averages of uniformly continuous retractions