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Bibliography

Arv69
William B. Arveson.
Subalgebras of $ {C}\sp{*} $-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 $ l\sb p$.
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 $ {C}\sp *$-algebraic cohomology.
Invent. Math., 90(2):279-296, 1987.

Cho74
Man Duen Choi.
A schwarz inequality for positive linear maps on $ {C}^*$-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 $ {C}\sp *$-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 $ l_1$-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.
$ {C}\sp *$-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.
$ {C}\sp *$-extreme points of some compact $ {C}\sp *$-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 $ {C}\sp *$-extreme points in spaces of completely positive linear maps on $ {C}\sp *$-algebras.
Proc. Amer. Math. Soc., 126(5):1467-1477, 1998.

GK69
I. C. Gohberg and M. G. Kre{\u{\i\/}}\kern.15emn.
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 $ {C}\sp{*} $-algebras.
J. Operator Theory, 10(1):141-152, 1983.

Kir83
Eberhard Kirchberg.
The Fubini theorem for exact $ {C}\sp{*} $-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 $ {C}\sp *$-algebras.
Michigan Math. J., 22(4):361-366 (1976), 1975.

LP81
Richard I. Loebl and Vern I. Paulsen.
Some remarks on $ {C}\sp{*} $-convexity.
Linear Algebra Appl., 35:63-78, 1981.

Mag98
Bojan Magajna.
On $ c^*$-extreme points.
Preprint, 1998.

Mag00
B. Magajna.
$ {C}\sp *$-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 $ {A}$-$ {B}$ bimodule maps.
Glasgow Math. J., 36(2):145-155, 1994.

Mor94
Phillip B. Morenz.
The structure of $ {C}\sp *$-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.
$ {C}\sp *$-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 $ {C}\sp{*} $-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 $ {\mathit{CB}}^s({B}({H}))$.
Diplomarbeit, Universität der Saarlandes, 1997.

Pie67
A. Pietsch.
Absolut $ p$-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 $ {C}\sp *$-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 $ {C}\sp{*} $-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 $ {C}\sp *$-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 $ {C}\sp{*} $-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