Literatur

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.

BGR77

Lawrence G. Brown, Philip Green, and Marc A. Rieffel.
Stable isomorphism and strong Morita equivalence of ${C}\sp{*}$-algebras.
Pacific J. Math., 71(2):349-363, 1977.

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.

Ble96

David P. Blecher.
A generalization of Hilbert modules.
J. Funct. Anal., 136(2):365-421, 1996.

Ble97

David P. Blecher.
A new approach to Hilbert ${C}\sp{*}$-modules.
Math. Ann., 307(2):253-290, 1997.

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.

Bro77

Lawrence G. Brown.
Stable isomorphism of hereditary subalgebras of ${C}\sp{*}$-algebras.
Pacific J. Math., 71(2):335-348, 1977.

BRS90

David P. Blecher, Zhong-jin Ruan, and Allan M. Sinclair.
A characterization of operator algebras.
J. Funct. Anal., 89(1):188-201, 1990.

CC92

Jean-Pierre Changeux and Alain Connes.
Matière à pensée.
Editions Odile Jacob, Paris, 1992.
Reprint of the 1989 edition.

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.

Chr82

Erik Christensen.
Extensions of derivations. II.
Math. Scand., 50(1):111-122, 1982.

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.

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 l₁-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. Kren.
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.

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.

Kir96

Eberhard Kirchberg.
The derivation problem and the similarity problem are equivalent.
J. Operator Theory, 36(1):59-62, 1996.

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.

Lan95

E. C. Lance.
Hilbert ${C}\sp{*}$-modules.
Cambridge University Press, Cambridge, 1995.
A toolkit for operator algebraists.

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.

Mag98a

Bojan Magajna.
c^*-convex sets and completely bounded bimodule homomorphisms.
Preprint, 1998.

Mag98b

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

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.

Pas73

William L. Paschke.
Inner product modules over ${B}\sp{*}$-algebras.
Trans. Amer. Math. Soc., 182:443-468, 1973.

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.

Pop98

Cyprian Pop.
Bimodules normés représentables sur des espaces hilbertiens.
Preprint, 1998.

Pow74

Robert T. Powers.
Selfadjoint algebras of unbounded operators. II.
Trans. Amer. Math. Soc., 187:261-293, 1974.

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.

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.

Yli90

K. Ylinen.
Representing completely bounded multilinear operators.
Acta Math. Hungar., 56(3-4):295-297, 1990.