Lecture Series N. 14: Operators and Function Theory: The Role of De Branges's Spaces (1989)

Principal Lecturer: D. Sarason (UC Berkeley)

·         The proceedings of this conference have appeared in: "Sub-Hardy Hilbert Spaces in the Unit Disk", by Donald Sarason, University of Arkansas Lecture Notes in Mathematics, Vol.10 (1994), John Wiley & Sons Publ. ISBN: 0471048976

·         Invited Speakers:

¨      Joel Shapiro (Michigan State University)                                                                     Title:  Compactness and Isolation Amongst the Composition Operators

¨      Louis de Branges (Purdue University)                                                                         Title:  A construction of Krein Spaces of Analytic Functions

¨      J. Milne Anderson (University College, London)                                                           Title:  The Norm of the Cauchy Transform on Bounded Domains

¨      James Rovnyak (University of Virginia)                                                                         Title:  de Branges’s Spaces for contractive Substitution Transformations

¨      Daniel Alpay (Groningen University)                                                                                        Title:  Pairs of de Branges’s Spaces and a Generalization of Iohvidov’s Laws

¨     Carl Cowen (Purdue University)                                                                                 Title:  Using Hadamard Products to Transfer Structure of Operators

¨      Daniel Hitt (University of California, Santa Cruz)                                                           Title:  Extremal Problems and Invariant Subspaces

¨      Arne Stray (University of Bergen)                                                                               Title:  Minimal Interpolation by Blaschke Products

¨      James Agler (University of California, San Diego)

¨      Douglas Clark (University of Georgia)                                                                          Title:  Restrictions of H^P Functions in the Polydisk

¨      Tom Kriete (University of Virginia)                                                                                                      Title:  Translation Invariant Subspaces     

¨      Benjamin Lotto (Michigan State University)                                                                                                  Title:  Multipliers of de Branges’s Spaces

¨      Allen Shields (University of Michigan)                                                                                                          Title:  The Dirichlet Space:  A Survey       

¨      Yosef Stein (Center for Technical Education, Holon)                                                                Title:  A Functional-Analytic Approach to the Jacobian Conjecture

¨      Marvin Rosenblum (University of Virginai)                                                                    Title:  Functions f such that the Commutator of f(Q) and if (P) is Nonnegative

¨      Sheldon Axler (Michigan State University)                                                                  Title:  boundary Behavior of Derivatives of Analytic Functions

¨      Joseph Ball (VPISU, Virginia)                                                                                     Title:  de Branges’s-Rovnyak Overlapping Spaces, Nonregular Factorizations and Unitary Dilations

¨      Przemyslaw Wojtaszczyk (Texas A & M University)                                                         Title:  Multipliers in Some Spaces of Analytic Functions

¨      Leonardo Laroco (University of California, Berkeley)                                                     Title:  Stable Rank and Approximation Theorems in H⁸

¨      J. William Helton (University of California, San Diego)