Multivariable Operator-valued Nevanlinna-Pick Interpolation: a Survey -- On the Unit Ball of Operator-valued H 2-functions -- On an Interpolation Problem for Generalized Schur Functions -- The Algebra of ?-measurable Operators -- Holomorphic and Bergman-type Spaces -- A Time-variant Norm Constrained Interpolation Problem Arising from Relaxed Commutant Lifting -- Nowhere Density of the Set of Non-norm-attaining Functionals -- A Stochastic Double Product in Non-Fock Quantum Stochastic Calculus -- Singular Integral Operators on Variable Lebesgue Spaces with Radial Oscillating Weights -- Reverse Martingales in Riesz Spaces -- Contractivity of the H ?-calculus and Blaschke Products -- Invertibility in the Algebra of ?-measurable Operators -- Analyticity of Semigroups Related to a Class of Block Operator Matrices -- Derivations of ?-measurable Operators -- On Hyperinvariant Subspaces for Linear Maps of Real Vector Spaces.

This volume contains the proceedings of the eighteenth International Workshop on Operator Theory and Applications (IWOTA), hosted by the Unit for Business Mathematics and Informatics of North-West University, Potchefstroom, South Africa from July 3 to 6, 2007. The conference (as well as these proceedings) was dedicated to Professors Joseph A. Ball and Marinus M. Kaashoek on the occasion of their 60th and 70th birthdays, respectively. This conference had a particular focus on Von Neumann algebras at the interface of operator theory with functional analysis and on applications of operator theory to differential equations.