Contractivity of Projections Commuting with Inner Derivations on JBW*-triples |
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Authors: | Remo V. Hügli |
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Affiliation: | 1.UCD School of Physics, Condensed Matter Theory group,University College Dublin,Dublin,Ireland |
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Abstract: | It is shown that if P is a weak*-continuous projection on a JBW*-triple A with predual A *, such that the range PA of P is an atomic subtriple with finite-dimensional Cartan-factors, and P is the sum of coordinate projections with respect to a standard grid of PA, then P is contractive if and only if it commutes with all inner derivations of PA. This provides characterizations of 1-complemented elements in a large class of subspaces of A * in terms of commutation relations. |
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