The isometries ofC p
Copyright policy )The isometries ofC p
Theorem.Let 1≦p≦∞,p ≠ 2, and let V be an isometry of Cp onto itself. Then there exist two unitary operators u and w on l2 so that V acts on Cp in one of the following forms:\((i) Vx = u \cdot x \cdot w; (ii) Vx = u \cdot x^T \cdot w\) (where xT is the transpose of x).
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Duality and reflexivity in normed linear and Banach spaces, Linear spaces of operators, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Duality and reflexivity in normed linear and Banach spaces, Linear spaces of operators, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
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