ON HAHN–BANACH TYPE THEOREMS FOR HILBERT C*-MODULES
From MaRDI portal
Publication:4807418
DOI10.1142/S0129167X02001356zbMath1059.46035arXivfunct-an/9609003OpenAlexW2029337492MaRDI QIDQ4807418
Publication date: 18 May 2003
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/funct-an/9609003
Hahn-Banach theorem\(C^*\)-algebraoperator spaceoperator modulesHilbert \(C^*\)-modulebounded module mapcompletely bounded module map
Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) (C^*)-modules (46L08) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25)
Related Items
Extensions and dilations of module maps, CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond, Regularity results for classes of Hilbert \(\mathrm{C}^*\)-modules with respect to special bounded modular functionals, Unnamed Item
Cites Work
- Unnamed Item
- Ein operatorwertiger Hahn-Banach Satz
- Injective Hilbert \(C^*\)-modules
- Injective envelopes of \(C^*\)-algebras
- Factorization of completely bounded bilinear operators and injectivity
- Geometrical aspects of Hilbert \(C^*\)-modules
- A multiplier approach to the Lance-Blecher theorem
- Self-duality and \(C^*\)-reflexivity of Hilbert \(C^*\)-moduli
- A generalization of Hilbert modules
- On nuclear C\(^*\)-algebras
- Projections in Banach algebras
- Boolean algebras with pathological order topologies
- All AW∗ -Factors are Normal
- MODULES OVER MONOTONE COMPLETE C*-ALGEBRAS
- Extension of completely bounded A-B bimodule maps
- The Double B-Dual Of An Inner Product Module Over a C*-Algebra B
- Hilbert C*‐Modules over Monotone Complete C*‐Algebras
- Isomorphisms of Hilbert $C^*$-modules and *-isomorphisms of related operator $C^*$-algebras.
