Contractive projections on the fixed point set of $L_∞$ contractions

Michael Lin; Robert Sine

Displaying similar documents to “Contractive projections on the fixed point set of $L_{\infty}$ contractions”

Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property

Ronald Bruck, Tadeusz Kuczumow, Simeon Reich (1993)

Colloquium Mathematicae

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Contractive conditions and common fixed points.

Pant, Vyomesh (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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The range of a contractive projection in L(H).

Yves Raynaud (2004)

Revista Matemática Complutense

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We show that the range of a contractive projection on a Lebesgue-Bochner space of Hilbert valued functions L(H) is isometric to a l-direct sum of Hilbert-valued L-spaces. We explicit the structure of contractive projections. As a consequence for every 1 < p < ∞ the class C of l-direct sums of Hilbert-valued L-spaces is axiomatizable (in the class of all Banach spaces).

Some invariant subspaces for A-contractions and applications

Laurian Suciu (2006)

Extracta Mathematicae

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Some invariant subspaces for the operators A and T acting on a Hilbert space H and satisfying T*AT ≤ A and A ≥ 0, are presented. Especially, the largest invariant subspace for A and T on which the equality T* AT = A occurs, is studied in connections to others invariant or reducing subspaces for A, or T. Such subspaces are related to the asymptotic form of the subspace quoted above, this form being obtained using the operator limit of the sequence {TAT; n ≥ 1}. More complete results are...