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Hilbert C*-Modules
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  • Cited by 152
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Fang, Xiaochun Moslehian, Mohammad Sal and Xu, Qingxiang 2018. On majorization and range inclusion of operators on Hilbert C*-modules. Linear and Multilinear Algebra, Vol. 66, Issue. 12, p. 2493.

    Azandaryani, M Mirzaee and Fereydooni, A 2018. Pair frames in Hilbert $$\varvec{C^*}$$C∗-modules. Proceedings - Mathematical Sciences, Vol. 128, Issue. 2,

    Brannan, Michael and Kerr, David 2018. Quantum Groups, Property (T), and Weak Mixing. Communications in Mathematical Physics, Vol. 360, Issue. 3, p. 1043.

    Eshaghi Gordji, M. Fathi, H. and Hosseinioun, S. A. R. 2018. Parallel sum of positive adjointable operators on Hilbert $$C^{*}$$C∗-modules. Afrika Matematika, Vol. 29, Issue. 7-8, p. 1081.

    Clare, Pierre Crisp, Tyrone and Higson, Nigel 2018. ADJOINT FUNCTORS BETWEEN CATEGORIES OF HILBERT -MODULES. Journal of the Institute of Mathematics of Jussieu, Vol. 17, Issue. 02, p. 453.

    Yuan, Wei 2018. Rigid C*-Tensor Categories and their Realizations as Hilbert C*-Bimodules. Proceedings of the Edinburgh Mathematical Society, p. 1.

    Deeley, Robin J. Goffeng, Magnus and Mesland, Bram 2018. The bordism group of unbounded KK-cycles. Journal of Topology and Analysis, Vol. 10, Issue. 02, p. 355.

    Bourne, Chris and Schulz-Baldes, Hermann 2018. 2016 MATRIX Annals. Vol. 1, Issue. , p. 203.

    Okamura, Kazuya 2018. Reality and Measurement in Algebraic Quantum Theory. Vol. 261, Issue. , p. 361.

    Sołtan, Piotr 2018. A Primer on Hilbert Space Operators. p. 113.

    Magajna, Bojan 2018. Maps with the Unique Extension Property and $$\hbox {C}^{*}$$ C ∗ -Extreme Points. Complex Analysis and Operator Theory, Vol. 12, Issue. 8, p. 1903.

    Cao, Nan-Bin and Zhang, Yu-Ping 2018. Operations Research and Optimization. Vol. 225, Issue. , p. 109.

    Alijani, Azadeh 2018. Non-orthogonal fusion frames in Hilbert C∗-modules. International Journal of Wavelets, Multiresolution and Information Processing, Vol. 16, Issue. 03, p. 1850015.

    Dey, Santanu and Trivedi, Harsh 2018. Bures Distance and Transition Probability for $$\alpha $$α-CPD-Kernels. Complex Analysis and Operator Theory,

    Enrique Moliner, Pau Heunen, Chris and Tull, Sean 2018. Space in Monoidal Categories. Electronic Proceedings in Theoretical Computer Science, Vol. 266, Issue. , p. 399.

    Buss, Alcides Holkar, Rohit D. and Meyer, Ralf 2018. A universal property for groupoid C* -algebras. I. Proceedings of the London Mathematical Society, Vol. 117, Issue. 2, p. 345.

    Choi, Byoung Jin Ji, Un Cig and Lim, Yongdo 2018. Inequalities for positive module operators on von Neumann algebras. Journal of Mathematical Physics, Vol. 59, Issue. 6, p. 063513.

    Hasegawa, Kei 2018. Bass–Serre Trees of Amalgamated Free Product C*-algebras. International Mathematics Research Notices,

    Ghahramani, H. and Sattari, S. 2018. Ideal submodules and topologically complementable submodules of Hilbert C*-modules. Linear and Multilinear Algebra, p. 1.

    Conde-Alonso, José M. and Parcet, Javier 2018. Nondoubling Calderón–Zygmund theory: a dyadic approach. Journal of Fourier Analysis and Applications,


Book description

Hilbert C*-modules are objects like Hilbert spaces, except that the inner product, instead of being complex valued, takes its values in a C*-algebra. The theory of these modules, together with their bounded and unbounded operators, is not only rich and attractive in its own right but forms an infrastructure for some of the most important research topics in operator algebras. This book is based on a series of lectures given by Professor Lance at a summer school at the University of Trondheim. It provides, for the first time, a clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material. It will be welcomed as an excellent resource for all graduate students and researchers working in operator algebras.


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