Calculus of One-Sided M-Ideals and Multipliers in Operator Spaces.

Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- 2.1. One-Sided Multipliers -- 2.2. One-Sided Adjointable Multipliers -- 2.3. One-Sided M-and L-Structure -- 2.4. The One-Sided Cunningham Algebra -- Chapter 3. Spatial Action -- 3.1. Projections -- 3.2. Partial Isometries -- 3.3. Murray-Von Neumann Equivalence -- 3.4. Inner Products on Operator Spaces -- 3.5. Polar Decomposition -- Chapter 4. Examples -- 4.1. Two-Dimensional Operator Spaces -- 4.2. MIN and MAX Spaces -- 4.3. Hilbertian Operator Spaces -- 4.4. C*-Algebras -- 4.5. Nonselfadjoint Operator Algebras -- 4.6. Hilbert C*- Modules -- 4.7. Operator Modules -- 4.8. Operator Systems and M-Projective Units -- 4.9. Locally Reflexive Operator Spaces -- Chapter 5. Constructions -- 5.1. Opposite and Conjugate -- 5.2. Subspace and Quotient -- 5.3. Dual and Bidual -- 5.4. Sum and Intersection -- 5.5. Algebraic Direct Sum -- 5.6. One-Sided M-Summands in Tensor Products -- 5.7. Minimal Tensor Product -- 5.8. Haagerup Tensor Product -- 5.9. Interpolation -- 5.10. Infinite Matrices and Multipliers -- 5.11. Diagonal Sums -- 5.12. Mutually Orthogonal and Equivalent One-Sided Af-Projections -- 5.13. Multiple ⊕[sub(r)]M…sums -- Chapter 6. One-Sided Type Decompositions and Morita Equivalence -- 6.1. One-Sided Type Decompositions -- 6.2. Morita Equivalence -- Chapter 7. Central M-structure for Operator Spaces -- 7.1. The Operator Space Centralizer Algebra -- 7.2. Complete L-Projections and the Cunningham Algebra -- Chapter 8. Future directions -- Appendix A: Some Results from Banach Space Theory -- A.1. Dual spaces -- A.2. Miscellaneous facts -- Appendix B: Infinite Matrices over an Operator Space -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.