Contents

Chapters in this book

1. Frontmatter i
2. Dedication v
3. Preface vi
4. Contents ix
5. Beurling’s Theorem on locally compact abelian groups 1
6. Fréchet algebras with a dominating Hilbert algebra norm 5
7. Relations between ideals of the Figà-Talamanca Herz algebra A_p(G) of a locally compact group G and ideals of A_p(H) of a closed subgroup 35
8. The composition of conditional expectation and multiplication operators 47
9. On the generation of Arveson weakly continuous semigroups 57
10. ℓ¹-bases in Banach algebras and Arens irregularities in harmonic analysis 95
11. On spectral synthesis in convolution Sobolev algebras on the real line 133
12. Projective and free matricially normed spaces 151
13. Banach spaces whose algebras of operators are Dedekind-finite but they do not have stable rank one 165
14. Invariant Complementation Property and Fixed Point Sets On Power Bounded Elements in the Group von Neumann Algebra 177
15. Subspaces that can and cannot be the kernel of a bounded operator on a Banach space 189
16. Towards a sheaf cohomology theory for C*-algebras 197
17. Tame functionals on Banach algebras 213
18. Left Ideals of Banach Algebras and Dual Banach Algebras 227