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• # Artykuł - szczegóły

## Studia Mathematica

2003 | 155 | 2 | 95-105

## On the Banach-Stone problem

EN

### Abstrakty

EN
Let X and Y be locally compact Hausdorff spaces, let E and F be Banach spaces, and let T be a linear isometry from C₀(X,E) into C₀(Y,F). We provide three new answers to the Banach-Stone problem: (1) T can always be written as a generalized weighted composition operator if and only if F is strictly convex; (2) if T is onto then T can be written as a weighted composition operator in a weak sense; and (3) if T is onto and F does not contain a copy of $ℓ₂^{∞}$ then T can be written as a weighted composition operator in the classical sense.

95-105

wydano
2003

### Twórcy

autor
• Institute of Mathematics, Academia Sinica, Taipei, Taiwan 11529, Republic of China
autor
• Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan 80424, Republic of China