List of Open Problems

Chapters in this book

1. Frontmatter i
2. Preface v
3. Contents vii
4. Historical Note
5. A history of conferences on Banach algebras 3
6. Research Articles
7. Commutant algebras for certain differential operators in L^p(ℝ) 27
8. Algebras of smooth functions 43
9. Sur les transformations qui conservent le spectre 55
10. Localized L¹-factorization for absolutely continuous contractions 79
11. Averaging with virtual diagonals and geometry of representations 87
12. Second-order cohomology groups of some semigroup algebras 101
13. Compact elements in weighted discrete semigroup algebras 119
14. C₀₀-representations of H∞(G) with dominating Harte spectrum 135
15. Embedding semigroups in commutative radical Banach algebras 153
16. Generalizations of Fredholm operators 169
17. Oka’s principle for special Fréchet Lie groups and homogeneous manifolds in topological algebras of the microlocal analysis 189
18. Some concepts from group cohomology in the Banach algebra context 205
19. Weak amenability of C*-algebras and a theorem of Goldstein 223
20. The generalized Carleson condition in certain spaces of analytic functions 245
21. Description of spatially projective operator C*-algebras, and around it 261
22. Endomorphisms of Banach algebras of infinitely differentiable functions 273
23. The Browder spectrum through local spectral theory 287
24. On ⍦*- and C*-algebras of pseudodifferential operators on manifolds with conical singularities 303
25. Amenable Banach algebras with discrete spectrum 325
26. Excision in the cohomology of Banach algebras with coefficients in dual bimodules 341
27. Extending the norm from special Jordan triple systems to their associative envelopes 363
28. Natural spectrum, natural local spectra, and spectral mapping theorems for multipliers on Banach algebras 377
29. Invariant subspaces for tuples with normal dilations 397
30. The structure of contractible and amenable Banach algebras 415
31. On some properties of the difference spectrum 431
32. Homological dimensions of tensor products of Banach algebras 441
33. Derivations which are unbounded on the polynomials 461
34. Elements in the radical of a Banach algebra obeying the unbounded Kleinecke-Shirokov conjecture 475
35. Rare sets and derivations of Banach algebras 489
36. Problems and Solutions
37. Questions on automatic continuity 509
38. Lifting of idempotent operator functions 527
39. Various notions of amenability, a survey of problems 535
40. List of Open Problems 549
41. List of Contributors and Participants 561