Function Spaces in Analysis: (Contemporary Mathematics)

This volume contains the proceedings of the Seventh Conference on Function Spaces, which was held from May 20-24, 2014 at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.

Table of Contents:
On algebraic properties of the spectrum and spectral radius of elements in a unital algebra by M. Abel Automatic continuity of surjective homomorphisms between topological algebras by M. Abel Characterization of holomorphic and meromorphic functions via maximum principles by J. T. Anderson Hermitian operators on $\mathbf{H}^p_\mathcal{H}(\triangle^n)$ by F. Botelho and J. Jamison Some notions of transitivity for operator spaces by J. A. Chavez-Dominguez and T. Oikhberg Removability of exceptional sets for differentiable and Lipschitz functions by J. Craig, J. F. Feinstein, and P. Patrick Generalizing trigonometric functions from different points of view by D. E. Edmunds and J. Lang Partial $W^*$-dynamical systems and their dilations by G. O. S. Ekhaguere Swiss cheeses and their applications by J. F. Feinstein, S. Morley, and H. Yang Isometries on the special unitary group by O. Hatori Amenability as a hereditary property in some algebras of vector-valued functions by T. Hoim and D. A. Robbins Weighted norm inequalities for Hardy type operators on monotone functions by P. Jain, M. Singh, and A. P. Singh Norms on normal function algebras by K. Jarosz Maximally modulated singular integral operators and their applications to pseudodifferential operators on Banach function spaces by A. Yu. Karlovich Smoothness to the boundary of biholomorphic mappings: An overview by S. G. Krantz A multiplicative Banach-Stone theorem by K. Lee Weighted composition operators on weighted sequence spaces by D. M. Luan and L. H. Khoi Spectral isometries into commutative Banach algebras by M. Mathieu and M. Young Eigenvalues and eigenfunctions of the $p(\cdot)$-Laplacian. A convergence analysis by O. Mendez Surjective isometries between function spaces by T. Miura Endomorphisms and the Silov representation by D. C. Moore The essential norm of operators on the Bergman space of vector-valued functions on the unit ball by R. Rahm and B. D. Wick Trigonometric approximation of periodic functions belonging to weighted Lipschitz class $W(L^p,\Psi(t),\beta)$ by S. K. Srivastava and U. Singh Analytic structure of polynomial hulls by J. Wermer

About the Author :
Krzysztof Jarosz, Southern Illinois University at Edwardsville, IL, USA.