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The centraliser of
E ⊗λF
Anthony William Wickstead |
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Vol. 65 (1976), No. 2, 563–571
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Abstract |
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If E is a real Banach space then ℬ(E) is the space of all bounded linear operators on E, and 𝒵(E) the subspace of M-bounded operators, i.e. the centraliser of E. Two Banach spaces E and F are considered as well as the tensor product E ⊗λF. There is a natural mapping of the algebraic tensor product 𝒵(E) ⊙𝒵(F) into 𝒵(E ⊗λF). It is shown that 𝒵(E ⊗λF) is precisely the strong operator closure, in ℬ(E ⊗λF), of its image. |
Mathematical Subject Classification 2000
Primary: 46M05
Secondary: 46L20
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Milestones
Received: 18 November 1974
Revised: 17 March 1976
Published: 1 August 1976
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Authors |
| Anthony William Wickstead | |
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