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Function spaces in analysis / [edited by] Krzysztof Jarosz.

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 645.Publication details: Providence : American Mathematical Society, 2015.Description: vii, 301 p. : illustrations ; 26 cmISBN:
  • 9781470416942 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
On algebraic properties of the spectrum and spectral radius of elements in a unital algebra / Mart Abel -- Automatic continuity of surjective homomorphisms between topological algebras / Mati Abel -- Characterization of Holomorphic and Meromorphic Functions via Maximum Principles / John T. Anderson -- Hermitian operators on $\mathbf {H}^p_{\mathcal {H}}(\triangle ^n)$ / Fernanda Botelho and James Jamison -- Some notions of transitivity for operator spaces / Javier Alejandro Chávez-Domínguez and Timur Oikhberg -- Removability of exceptional sets for differentiable and Lipschitz functions / J. Craig, J. F. Feinstein and P. Patrick -- Generalizing trigonometric functions from different points of view / David E. Edmunds and Jan Lang -- Partial $W^*$-dynamical systems and their dilations / G. O. S. Ekhaguere -- Swiss Cheeses and Their Applications / J. F. Feinstein, S. Morley and H. Yang -- Isometries on the special unitary group / Osamu Hatori -- Amenability as a hereditary property in some algebras of vector-valued functions / Terje Hõim and D. A. Robbins -- Weighted norm inequalities for Hardy type operators on monotone functions / Pankaj Jain, Monika Singh and Arun Pal Singh -- Norms on normal function algebras / Krzysztof Jarosz -- Maximally Modulated Singular Integral Operators and their Applications to Pseudodifferential Operators on Banach Function Spaces / Alexei Yu. Karlovich -- Smoothness to the Boundary of Biholomorphic Mappings: An Overview / Steven G. Krantz -- A multiplicative Banach-Stone theorem / Kristopher Lee -- Weighted composition operators on weighted sequence spaces / Doan Minh Luan and Le Hai Khoi -- Spectral isometries into commutative Banach algebras / Martin Mathieu and Matthew Young -- Eigenvalues and eigenfunctions of the $p(\cdot)$-Laplacian. A convergence analysis / Osvaldo Méndez -- Surjective isometries between function spaces / Takeshi Miura -- Endomorphisms and the Šilov Representation / D. C. Moore -- The essential norm of operators on the Bergman space of vector-valued functions on the unit ball / Robert Rahm and Brett D. Wick -- Trigonometric approximation of periodic functions belonging to weighted Lipschitz class $W(L^{p}, \Psi (t), \beta)$ / Shailesh Kumar Srivastava and Uaday Singh -- Analytic structure of polynomial hulls / John Wermer --
Summary: 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.
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Includes bibliographical references.

On algebraic properties of the spectrum and spectral radius of elements in a unital algebra / Mart Abel --
Automatic continuity of surjective homomorphisms between topological algebras / Mati Abel --
Characterization of Holomorphic and Meromorphic Functions via Maximum Principles / John T. Anderson --
Hermitian operators on $\mathbf {H}^p_{\mathcal {H}}(\triangle ^n)$ / Fernanda Botelho and James Jamison --
Some notions of transitivity for operator spaces / Javier Alejandro Chávez-Domínguez and Timur Oikhberg --
Removability of exceptional sets for differentiable and Lipschitz functions / J. Craig, J. F. Feinstein and P. Patrick --
Generalizing trigonometric functions from different points of view / David E. Edmunds and Jan Lang --
Partial $W^*$-dynamical systems and their dilations / G. O. S. Ekhaguere --
Swiss Cheeses and Their Applications / J. F. Feinstein, S. Morley and H. Yang --
Isometries on the special unitary group / Osamu Hatori --
Amenability as a hereditary property in some algebras of vector-valued functions / Terje Hõim and D. A. Robbins --
Weighted norm inequalities for Hardy type operators on monotone functions / Pankaj Jain, Monika Singh and Arun Pal Singh --
Norms on normal function algebras / Krzysztof Jarosz --
Maximally Modulated Singular Integral Operators and their Applications to Pseudodifferential Operators on Banach Function Spaces / Alexei Yu. Karlovich --
Smoothness to the Boundary of Biholomorphic Mappings: An Overview / Steven G. Krantz --
A multiplicative Banach-Stone theorem / Kristopher Lee --
Weighted composition operators on weighted sequence spaces / Doan Minh Luan and Le Hai Khoi --
Spectral isometries into commutative Banach algebras / Martin Mathieu and Matthew Young --
Eigenvalues and eigenfunctions of the $p(\cdot)$-Laplacian. A convergence analysis / Osvaldo Méndez --
Surjective isometries between function spaces / Takeshi Miura --
Endomorphisms and the Šilov Representation / D. C. Moore --
The essential norm of operators on the Bergman space of vector-valued functions on the unit ball / Robert Rahm and Brett D. Wick --
Trigonometric approximation of periodic functions belonging to weighted Lipschitz class $W(L^{p}, \Psi (t), \beta)$ / Shailesh Kumar Srivastava and Uaday Singh --
Analytic structure of polynomial hulls / John Wermer --

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.

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