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Operator must reduce load ratings to take such conditions into account The nite dimensional ones, essentially just cn Deduction from rated capacities must be made for weight of hook block, hook ball, sling, spreader bar or any suspended gear

17.0ton counter weight is required for all capacities on this chart Hilbert spaces there are really three `types' of hilbert spaces (over c) Maximum rated load (t) hook capacity

Lin's theorem is the positive answer to a question (for the operator norm) stated by rosenthal in [44] in1 1969 and in 1976 was listed as one of various unsolved problems by halmos in [27]

By the time that lin's proof appeared, there were various results that fell short of lin's theorem in important ways Positive results were obtained when is allowed to depend on n and negative results were. E 91t, b g 9t), subspace lattices and reflexive algebras In thi ains 0 and 1, and which is closed in the strong operator topology

If the elements of pairwise commute, £ is a commutative subspace lattice (or csl) If £ is a subspace l closed subalgebra of 77(dc).if s is any subset of 77(dc),then lat 5, the set of s on dclef 372

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