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On the categories Sp(X) and Ban(X). (English) Zbl 0529.46058


MSC:

46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.)
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References:

[1] 1 J.M.G. Fell , An extension of Mackey’s method to Banach*-algebraic bundles , Memoirs A. M. S. 90 ( 1969 ). Zbl 0194.44301 · Zbl 0194.44301
[2] 2 J.M.G. Fell , Induced representations and Banach*-algebraic bundles , Lecture Notes in Math. 582 , Springer 1977 ). MR 457620 | Zbl 0372.22001 · Zbl 0372.22001
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[4] 4 J.W. Kitchen & D.A. Robbins , Gelfand representation of Banach modules , Preprint, Duke University , 1977 . MR 687278 · Zbl 0544.46041
[5] 5 J.W. Pelletier & R. Rosebrugh , The category of Banach spaces in Sheaves , Cahiers Top. et Géom. Diff. XX- 4 ( 1979 ), 353 - 372 . Numdam | MR 558104 | Zbl 0432.18005 · Zbl 0432.18005
[6] 6 A.K. Seda , Banach bundles of continuous functions and an integral representation theorem , Trans. A. M. S. 270 - 1 ( 1982 ), 327 - 332 . MR 642344 | Zbl 0489.46051 · Zbl 0489.46051
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