Access the full text.
Sign up today, get DeepDyve free for 14 days.
S. M. Grudsky, A. B. Khevelev (1983)
On invertibility in L2( R ) of singular integral operators with periodic coefficients and a shiftSoviet Math. Dokl., 17
N. Muskhelishvili (1977)
Singular Integral Equations
T. Ehrhardt, B. Silbermann (1999)
Oper. Theory Adv. Appl. 110
N. I. Achieser (1967)
Vorlesungen über Approximationstheorie
A. Böttcher, B. Silbermann (1991)
Analysis of Toeplitz Operators
G. Meinardus (1969)
N. I. Achieser, Vorlesungen über Approximationstheorie. (Math. Lehrbücher u. Monographien, Band II). 2. verb. Aufl. XII + 412 S. m. 10 Abb. Berlin 1967. Akademie-Verlag. Preis geb. 39,–MZamm-zeitschrift Fur Angewandte Mathematik Und Mechanik, 49
I. Gohberg, N. Krupnik (1992)
One-Dimensional Linear Singular Integral Equations, Vols. I and II
I. Gohberg, N. Krupnik (1992)
One-Dimensional Linear Singular Integral Equations
M. F. Fedoryuk (1987)
Asymptotics, Integrals and Series
F. D. Gakhov (1966)
Boundary Values Problems
T. Ehrhardt, B. Silbermann (1999)
Approximate identities and stability of discrete convolution operators with flipOperator theory, 110
A. Böttcher, B. Silbermann (1986)
Local spectra of approximate identities, cluster sets and Toeplitz operators, 28
L. A. Coburn, R. G. Douglas (1969)
Translation operators on a half-lineProc. Nat. Acad. Sci. USA, 62
A. Besicovitch (1954)
Almost Periodic Functions
I. M. Gelfand, D. A. Raikov, G. E. Shilov (1964)
Kommutative normierte Algebren
A. Zygmund (1955)
Trigonometric Series, Vol. I
I. Gohberg, I. A. Feldman (1968)
On Wiener-Hopf integro-difference equationsSoviet Math. Dokl., 9
A sequence {A λ}λ∈Λ of linear bounded operators is called stable if, for all sufficiently large λ, the inverses of A λ exist and their norms are uniformly bounded. We consider the stability problem for sequences of Toeplitz operators {T(k λ a)}λ∈Λ, where a(t) is an almost-periodic function on unit circle and k λ a is an approximate identity. A stability criterion is established in terms of the invertibility of a family of almost-periodic functions. This family of functions depends on the approximate identity used in a very subtle way, and the stability condition is, in general, stronger than the invertibility condition of the Toeplitz operator T(a).
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 19, 2004
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.