On the corona theorem for almost periodic functions

DOI10.1007/BF01230734zbMath0931.46036OpenAlexW1991034358MaRDI QIDQ1288981

Albrecht Böttcher

Publication date: 29 June 1999

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230734

zbMATH Keywords

maximal ideal spacecorona theoremadditive semigroupalgebras of almost periodic functions with absolutely convergent Fourier series

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Spaces of bounded analytic functions of one complex variable (30H05) Ideals, maximal ideals, boundaries (46J20) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (6)

Extension of the \(\nu\)-metric ⋮ Generation of the special linear group by elementary matrices in some measure Banach algebras ⋮ An abstract Nyquist criterion containing old and new results ⋮ The Bass and topological stable ranks for algebras of almost periodic functions on the real line ⋮ Uniform subalgebras of $L^{\infty }$ on the unit circle generated by almost periodic functions ⋮ Almost periodic functions and their applications: a survey of results and perspectives

Cites Work

• Conditional expectations and the corona problem of ergodic Hardy spaces
• New cases of almost periodic factorization of triangular matrix functions
• Interpolations by bounded analytic functions and the corona problem
• FACTORIZATION OF ALMOST PERIODIC MATRIX-VALUED FUNCTIONS AND THE NOETHER THEORY FOR CERTAIN CLASSES OF EQUATIONS OF CONVOLUTION TYPE
• Generalized Analytic Functions
• Almost periodic factorization and corona theorem
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