An exponential law for regular ordered Banach spaces

Kyung Chan Min

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1983)

  • Volume: 24, Issue: 3, page 279-298
  • ISSN: 1245-530X

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Kyung Chan Min. "An exponential law for regular ordered Banach spaces." Cahiers de Topologie et Géométrie Différentielle Catégoriques 24.3 (1983): 279-298. <http://eudml.org/doc/91331>.

@article{KyungChanMin1983,
author = {Kyung Chan Min},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {projective tensor product; internal Hom-functor; exponential law; symmetric monoidal closed category; well-equipped category; regular ordered Banach spaces; Banach lattices; equalizers; coequalizers},
language = {eng},
number = {3},
pages = {279-298},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {An exponential law for regular ordered Banach spaces},
url = {http://eudml.org/doc/91331},
volume = {24},
year = {1983},
}

TY - JOUR
AU - Kyung Chan Min
TI - An exponential law for regular ordered Banach spaces
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1983
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 24
IS - 3
SP - 279
EP - 298
LA - eng
KW - projective tensor product; internal Hom-functor; exponential law; symmetric monoidal closed category; well-equipped category; regular ordered Banach spaces; Banach lattices; equalizers; coequalizers
UR - http://eudml.org/doc/91331
ER -

References

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  1. 1 B.B. Anaschewski & E. Nelson, Tensor products and bimorphisms, Canad. Math. Bull.19 (4) (1976), 385-402. Zbl0392.18003MR442059
  2. 2 J. Cigler, V. Losert & P. Michor, Banach modules and functors on categories of Banach spaces, Lecture Notes in Pure and Appl. Math.46M. Dekker, New York and Basel, 1979. Zbl0411.46044MR533819
  3. 3 E.B. Davies, The structure and ideal theory of the predual of a Banach lattice, Trans. A. M. S.131 (1968), 544- 555. Zbl0159.41503MR222604
  4. 4 S. Eilenberg & G.M. Kelly, Closed categories, Proc. Conf. Cat. Algebra L a Jolla1965, Springer (1966), 421-562. Zbl0192.10604MR225841
  5. 5 A.J. Ellis, Linear operators in partially ordered normed vector spaces, J. London Math. Soc.41 (1966), 323- 332. Zbl0141.12804MR193485
  6. 6 D.H. Fremlin, Tensor products of Banach lattices, Math. Ann.211 (1974), 87- 106. Zbl0272.46050MR367620
  7. 7 A. HARTKÄMPER & H. NEUMANN (Ed.), Foundations of quantum Mechanics and ordered linear spaces, Lecture Notes in Physics29, Springer (1974). Zbl0271.00013MR395574
  8. 8 H.H. Errlich, Topological functors, General Top. and Appl.4 (1974), 125 -142. Zbl0288.54003MR343226
  9. 9 H. Herrlich & G.E. Strecker, Category Theory, Heldermann, Berlin1979. Zbl0437.18001MR571016
  10. 10 C. Herz & J. Wick Pelletier, Dual functors and integral operators in the category of Banach spaces, J. Pure Appl. Algebra8 (1976), 5- 22. Zbl0331.46064MR487490
  11. 11 G.J.O. Jameson, Ordered linear spaces, Lecture Notes in Math.141, Springer (1970). Zbl0196.13401MR438077
  12. 12 G.M. Kelly, T ensor products in categories, J. of Algebra2 (1965), 15 - 37. Zbl0135.02102MR177023
  13. 13 K.C. Min, Categorical aspects of ordered vector structures, PH. D.-Thesis, Carleton University, 1981. 
  14. 14 L. Namioka, Partially ordered linear topological spaces, MemoirsA. M. S.24 (1957). Zbl0105.08901MR94681
  15. 15 L.D. Nel, Riesz-like representations for operators on L1 by categorical methods, Advances in Math. (to appear). Zbl0508.46033
  16. 16 A.L. Peressini, Ordered topological vector spaces, Harper & Row, 1967. Zbl0169.14801MR227731
  17. 17 H.H. Schaefer, Banach lattices and positive operators, Springer, 1974. Zbl0296.47023MR423039
  18. 18 J. Wick Pelletier, Dual functors and the Radon-Nikodym property in the category of Banach spaces, J. Austral. Math. Soc. (Ser. A) 27 (1979), 479-494. Zbl0402.46042MR542663
  19. 19 A.W. Wickstead, Spaces of linear operators between partially ordered Banach spaces, Proc. London Math. Soc. (3) 28 (1974), 141- 158. Zbl0272.47026MR333828
  20. 20 G. Wittstock, Ordered normed tensor products, Lecture Notes in Physics29, Springer (1974), 67-84. Zbl0329.46007MR487388
  21. 21 G. Wittstock, Eine B emerkung über Tensorprodukte von Banachverbänden, Arch. Math.XXV (1974), 627- 634. Zbl0311.46002MR385516
  22. 22 Y.-C. Wong& K.-F. Ng, Partially ordered topological vector spaces, Oxford Math. Monographs, Clarendon, Oxford (1973). Zbl0269.46007MR454581

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