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- Arv69
-
William B. Arveson.
Subalgebras of
-algebras.
Acta Math., 123:141-224, 1969.
- Bet97
-
Benedikt Betz.
Matrixkonvexe Analysis.
Diplomarbeit, Universität der Saarlandes, 1997.
- BL76
-
Jöran Bergh and Jörgen Löfström.
Interpolation spaces. An introduction.
Springer-Verlag, Berlin, 1976.
Grundlehren der Mathematischen Wissenschaften, No. 223.
- Ble92a
-
David P. Blecher.
The standard dual of an operator space.
Pacific J. Math., 153(1):15-30, 1992.
- Ble92b
-
David P. Blecher.
Tensor products of operator spaces. II.
Canad. J. Math., 44(1):75-90, 1992.
- Ble95
-
David P. Blecher.
A completely bounded characterization of operator algebras.
Math. Ann., 303(2):227-239, 1995.
- BLM95
-
David P. Blecher and Christian Le Merdy.
On quotients of function algebras and operator algebra structures on
.
J. Operator Theory, 34(2):315-346, 1995.
- BMP
-
David P. Blecher, Paul S. Muhly, and Vern I. Paulsen.
Categories of operator modules (Morita equivalence and projective
modules).
Mem. Amer. Math. Soc.
- BP91
-
David P. Blecher and Vern I. Paulsen.
Tensor products of operator spaces.
J. Funct. Anal., 99(2):262-292, 1991.
- BRS90
-
David P. Blecher, Zhong-jin Ruan, and Allan M. Sinclair.
A characterization of operator algebras.
J. Funct. Anal., 89(1):188-201, 1990.
- CE77
-
Man Duen Choi and Edward G. Effros.
Injectivity and operator spaces.
J. Functional Analysis, 24(2):156-209, 1977.
- CES87
-
Erik Christensen, Edward G. Effros, and Allan Sinclair.
Completely bounded multilinear maps and
-algebraic
cohomology.
Invent. Math., 90(2):279-296, 1987.
- Cho74
-
Man Duen Choi.
A schwarz inequality for positive linear maps on
-algebras.
Illinois J. Math., 18:565-574, 1974.
- CS87
-
Erik Christensen and Allan M. Sinclair.
Representations of completely bounded multilinear operators.
J. Funct. Anal., 72(1):151-181, 1987.
- CS89
-
Erik Christensen and Allan M. Sinclair.
A survey of completely bounded operators.
Bull. London Math. Soc., 21(5):417-448, 1989.
- DP91
-
K. R. Davidson and S. C. Power.
Isometric automorphisms and homology for nonselfadjoint operator
algebras.
Quart. J. Math. Oxford Ser. (2), 42(167):271-292, 1991.
- Eff87
-
Edward G. Effros.
Advances in quantized functional analysis.
In Proceedings of the International Congress of Mathematicians,
Vol. 1, 2 (Berkeley, Calif., 1986), pages 906-916, Providence, RI, 1987.
Amer. Math. Soc.
- EH85
-
Edward G. Effros and Uffe Haagerup.
Lifting problems and local reflexivity for
-algebras.
Duke Math. J., 52(1):103-128, 1985.
- EJR98
-
Edward G. Effros, Marius Junge, and Zhong-Jin Ruan.
Integral mappings and the principle of local reflexivity for
non-commutative
-spaces.
Math.Ann., ??(?):??-??, 1998.
- EK87
-
Edward G. Effros and Akitaka Kishimoto.
Module maps and Hochschild-Johnson cohomology.
Indiana Univ. Math. J., 36(2):257-276, 1987.
- EKR93
-
Edward G. Effros, Jon Kraus, and Zhong-Jin Ruan.
On two quantized tensor products.
In Operator algebras, mathematical physics, and low-dimensional
topology (Istanbul, 1991), pages 125-145. A K Peters, Wellesley, MA, 1993.
- ER88
-
Edward G. Effros and Zhong-jin Ruan.
Representations of operator bimodules and their applications.
J. Operator Theory, 19(1):137-158, 1988.
- ER90a
-
Edward G. Effros and Zhong-jin Ruan.
On approximation properties for operator spaces.
Internat. J. Math., 1(2):163-187, 1990.
- ER90b
-
Edward G. Effros and Zhong-jin Ruan.
On nonselfadjoint operator algebras.
Proc. Amer. Math. Soc., 110(4):915-922, 1990.
- ER91
-
Edward G. Effros and Zhong-jin Ruan.
Self-duality for the Haagerup tensor product and Hilbert space
factorizations.
J. Funct. Anal., 100(2):257-284, 1991.
- ER93
-
Edward G. Effros and Zhong-jin Ruan.
On the abstract characterization of operator spaces.
Proc. Amer. Math. Soc., 119(2):579-584, 1993.
- ER94
-
Edward G. Effros and Zhong-Jin Ruan.
Mapping spaces and liftings for operator spaces.
Proc. London Math. Soc. (3), 69(1):171-197, 1994.
- EW97a
-
Edward G. Effros and Corran Webster.
Operator analogues of locally convex spaces.
In Operator algebras and applications (Samos, 1996), pages
163-207. Kluwer Acad. Publ., Dordrecht, 1997.
- EW97b
-
Edward G. Effros and Soren Winkler.
Matrix convexity: operator analogues of the bipolar and
Hahn-Banach theorems.
J. Funct. Anal., 144(1):117-152, 1997.
- Eym64
-
Pierre Eymard.
L'algèbre de Fourier d'un groupe localement compact.
Bull. Soc. Math. France, 92:181-236, 1964.
- Far92
-
D. R. Farenick.
-convexity and matricial ranges.
Canad. J. Math., 44(2):280-297, 1992.
- Fis96
-
Hans-Jörg Fischer.
Struktur Matrix konvexer Mengen (sic!).
Diplomarbeit, Universität der Saarlandes, 1996.
- FM93
-
D. R. Farenick and Phillip B. Morenz.
-extreme points of some compact
-convex
sets.
Proc. Amer. Math. Soc., 118(3):765-775, 1993.
- Fuj94
-
Ichiro Fujimoto.
Decomposition of completely positive maps.
J. Operator Theory, 32(2):273-297, 1994.
- FZ98
-
Douglas R. Farenick and Hongding Zhou.
The structure of
-extreme points in spaces of completely
positive linear maps on
-algebras.
Proc. Amer. Math. Soc., 126(5):1467-1477, 1998.
- GK69
-
I. C. Gohberg and M. G. Kre
n.
Introduction to the theory of linear nonselfadjoint operators.
American Mathematical Society, Providence, R.I., 1969.
Translated from the Russian by A. Feinstein. Translations of
Mathematical Monographs, Vol. 18.
- Haa80
-
Uffe Haagerup.
Decomposition of completely bounded maps on operator algebras.
September 1980.
- Hof95
-
Helmut Hofmeier.
Vollständig beschränkte Modul-Homomorphismen über von
Neumann-Algebren.
Dissertation, Universität der Saarlandes, 1995.
- HT83
-
Tadasi Huruya and Jun Tomiyama.
Completely bounded maps of
-algebras.
J. Operator Theory, 10(1):141-152, 1983.
- Kir83
-
Eberhard Kirchberg.
The Fubini theorem for exact
-algebras.
J. Operator Theory, 10(1):3-8, 1983.
- Kir94
-
Eberhard Kirchberg.
Commutants of unitaries in UHF algebras and functorial
properties of exactness.
J. Reine Angew. Math., 452:39-77, 1994.
- Kir95
-
Eberhard Kirchberg.
On subalgebras of the CAR-algebra.
J. Funct. Anal., 129(1):35-63, 1995.
- KS71
-
M. I. Kadets and M. G. Snobar.
Certain functionals on the Minkowski compactum.
Mat. Zametki, 10:453-457, 1971.
- Lam97
-
Anselm Lambert.
Homogene hilbertsche Operatorräume und ihre vollständig
beschränkten Abbildungen.
Diplomarbeit, Universität der Saarlandes, 1997.
- Loe75
-
Richard I. Loebl.
Contractive linear maps on
-algebras.
Michigan Math. J., 22(4):361-366 (1976), 1975.
- LP81
-
Richard I. Loebl and Vern I. Paulsen.
Some remarks on
-convexity.
Linear Algebra Appl., 35:63-78, 1981.
- Mag98
-
Bojan Magajna.
On
-extreme points.
Preprint, 1998.
- Mag00
-
B. Magajna.
-convex sets and completely bounded bimodule homomorphisms.
Proc. Roy. Soc. Edinburgh Sect. A, 130(2):375-387, 2000.
- Mat94
-
Ben Mathes.
Characterizations of row and column Hilbert space.
J. London Math. Soc. (2), 50(1):199-208, 1994.
- MN94
-
Paul S. Muhly and Qi Yuan Na.
Extension of completely bounded
-
bimodule maps.
Glasgow Math. J., 36(2):145-155, 1994.
- Mor94
-
Phillip B. Morenz.
The structure of
-convex sets.
Canad. J. Math., 46(5):1007-1026, 1994.
- MP94
-
B. Maurey and G. Pisier.
Espaces de Banach classiques et quantiques.
Société Mathématique de France, Paris, 1994.
- MP95
-
D. Benjamin Mathes and Vern I. Paulsen.
Operator ideals and operator spaces.
Proc. Amer. Math. Soc., 123(6):1763-1772, 1995.
- Mur90
-
Gerard J. Murphy.
-algebras and operator theory.
Academic Press Inc., Boston, MA, 1990.
- Pat88
-
Alan L. T. Paterson.
Amenability.
American Mathematical Society, Providence, RI, 1988.
- Pau82
-
Vern I. Paulsen.
Completely bounded maps on
-algebras and invariant
operator ranges.
Proc. Amer. Math. Soc., 86(1):91-96, 1982.
- Pau86
-
Vern I. Paulsen.
Completely bounded maps and dilations.
Longman Scientific & Technical, Harlow, 1986.
- Pau92
-
Vern I. Paulsen.
Representations of function algebras, abstract operator spaces, and
Banach space geometry.
J. Funct. Anal., 109(1):113-129, 1992.
- Pet97
-
Uwe Peters.
Duale Operatorräume und der Standard-Prädual von
.
Diplomarbeit, Universität der Saarlandes, 1997.
- Pie67
-
A. Pietsch.
Absolut
-summierende Abbildungen in normierten Räumen.
Studia Math., 28:333-353, 1966/1967.
- Pie78
-
Albrecht Pietsch.
Operator ideals.
VEB Deutscher Verlag der Wissenschaften, Berlin, 1978.
- Pis86
-
Gilles Pisier.
Factorization of linear operators and geometry of Banach
spaces.
Published for the Conference Board of the Mathematical Sciences,
Washington, D.C., 1986.
- Pis95
-
Gilles Pisier.
Exact operator spaces.
Astérisque, (232):159-186, 1995.
Recent advances in operator algebras (Orléans, 1992).
- Pis96
-
Gilles Pisier.
The operator Hilbert space OH, complex interpolation
and tensor norms.
Mem. Amer. Math. Soc., 122(585):viii+103, 1996.
- Pis97
-
Gilles Pisier.
Espaces d'opérateurs: une nouvelle dualité.
Astérisque, (241):Exp. No. 814, 4, 243-272, 1997.
Séminaire Bourbaki, Vol. 1995/96.
- Pop00
-
Ciprian Pop.
Bimodules normés représentables sur des espaces hilbertiens.
In Operator theoretical methods (Timisoara, 1998), pages
331-370. Theta Found., Bucharest, 2000.
- Pow74
-
Robert T. Powers.
Selfadjoint algebras of unbounded operators. II.
Trans. Amer. Math. Soc., 187:261-293, 1974.
- PPS89
-
Vern I. Paulsen, Stephen C. Power, and Roger R. Smith.
Schur products and matrix completions.
J. Funct. Anal., 85(1):151-178, 1989.
- PS87
-
V. I. Paulsen and R. R. Smith.
Multilinear maps and tensor norms on operator systems.
J. Funct. Anal., 73(2):258-276, 1987.
- Rob91
-
A. Guyan Robertson.
Injective matricial Hilbert spaces.
Math. Proc. Cambridge Philos. Soc., 110(1):183-190, 1991.
- Rua88
-
Zhong-jin Ruan.
Subspaces of
-algebras.
J. Funct. Anal., 76(1):217-230, 1988.
- Rua89
-
Zhong-jin Ruan.
Injectivity of operator spaces.
Trans. Amer. Math. Soc., 315(1):89-104, 1989.
- Sat82
-
Ulrich Saterdag.
Vollständig positive und vollständig beschränkte
modulhomomorphismen auf operatoralgebren.
Diplomarbeit, Universität der Saarlandes, 1982.
- Sch70
-
Robert Schatten.
Norm ideals of completely continuous operators.
Springer-Verlag, Berlin, 1970.
Second printing. Ergebnisse der Mathematik und ihrer Grenzgebiete,
Band 27.
- Smi83
-
R. R. Smith.
Completely bounded maps between
-algebras.
J. London Math. Soc. (2), 27(1):157-166, 1983.
- Smi91
-
R. R. Smith.
Completely bounded module maps and the Haagerup tensor product.
J. Funct. Anal., 102(1):156-175, 1991.
- SS95
-
Allan M. Sinclair and Roger R. Smith.
Hochschild cohomology of von Neumann algebras.
Cambridge University Press, Cambridge, 1995.
- Sti55
-
W. Forrest Stinespring.
Positive functions on
-algebras.
Proc. Amer. Math. Soc., 6:211-216, 1955.
- Tak79
-
Masamichi Takesaki.
Theory of operator algebras. I.
Springer-Verlag, New York, 1979.
- Wit81
-
Gerd Wittstock.
Ein operatorwertiger Hahn-Banach Satz.
J. Funct. Anal., 40(2):127-150, 1981.
- Wit84a
-
G. Wittstock.
Extension of completely bounded
-module homomorphisms.
In Operator algebras and group representations, Vol. II (Neptun,
1980), pages 238-250. Pitman, Boston, Mass., 1984.
- Wit84b
-
Gerd Wittstock.
On matrix order and convexity.
In Functional analysis: surveys and recent results, III
(Paderborn, 1983), pages 175-188. North-Holland, Amsterdam, 1984.
- Woj91
-
P. Wojtaszczyk.
Banach spaces for analysts.
Cambridge University Press, Cambridge, 1991.
- WW99
-
Corran Webster and Soren Winkler.
The Krein-Milman theorem in operator convexity.
Trans. Amer. Math. Soc., 351(1):307-322, 1999.
Prof. Gerd Wittstock
2001-01-07