CONTENTS
1. Introduction...................................................................................................5
2. N-tuples of linear transformations in finite-dimensional space......................8
3. Toeplitz operators on the polydisc and the unit ball....................................18
4. Subspaces of weighted shifts.....................................................................23
5. Joint spectra for N-tuples of operators........................................................27
6. Algebras of operator weighted shifts...........................................................30
7. Functional calculus for N-tuples of contractions..........................................37
8. Dual algebras, invariant subspace problem and reflexivity..........................44
9. Reflexivity of jointly quasinormal operators and spherical isometries..........45
10. Reflexivity and existence of invariant subspaces......................................47
11. Questions and open problems..................................................................56
References.....................................................................................................58