Das Anfangswertverhalten von Evolutionsgleichungen in Banachräumen. Teil I: Approximationseigenschaften von Evolutionsoperatoren

DOI10.2748/tmj/1178242724zbMath0217.45301OpenAlexW1980571706MaRDI QIDQ2546419

W. Köhnen

Publication date: 1970

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178242724

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) Linear operator approximation theory (47A58) Equations and inequalities involving linear operators, with vector unknowns (47A50) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Saturation in approximation theory (41A40)

Cites Work

• Über den Graf der Approximation des Identitätsoperators durch Halbgruppen von linearen Operatoren und Anwendungen auf die Theorie der singulären Integrale
• Zur Frage der Saturationsklassen singulärer Integraloperatoren
• On the adjoint semigroup and some problems in the theory of approximation
• On a class of interpolation spaces
• Interpolationsmethoden zur Behandlung von Approximationsprozessen auf Banachräumen
• Approximation invariance of semi-group operators under perturbations
• Some theorems on interpolation spaces with applications to approximation in \(L_{p}\)
• Interpolation spaces and interpolation methods
• Abstract Evolution Equations of Parabolic Type in Banach and Hilbert Spaces
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