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We axiomatically define (pre-)Hilbert categories.
On the imbedding of normed rings into the ring of operators on a Hilbert space
Gelfand, I. M. & Naimark, M. A. (1943) · 1943
Earlier work this paper cites.
Imbedding of Abelian categories
Lubkin, S. (1960) · 1960
Earlier work this paper cites.
Abelian Categories: An introduction to the theory of functor
Freyd, P. (1964) · 1964
Earlier work this paper cites.
Theory of Categories
Mitchell, B. (1965) · 1965
Earlier work this paper cites.
A remark on Piron’s paper
1966
Earlier work this paper cites.
Methods of Modern Mathematical Physics, Vol I: Functional Analysis
Reed, M. & Simon, B. (1972) · 1972
Earlier work this paper cites.
W ∗ W^{*} -categories
Ghez, P., Lima, R. & Roberts, J. E. (1985) · 1985
Earlier work this paper cites.
A new duality theory for compact groups
Doplicher, S. & Roberts, J. E. (1989) · 1989
Earlier work this paper cites.
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Chang, C. C. & Keisler, H. J. (1990) · 1990
Earlier work this paper cites.
The Grothendieck Festschrift vol. 2, chapter Catégories tannakiennes
Deligne, P. (1990) · 1990
Earlier work this paper cites.
Handbook of Categorical Algebra
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