منابع مشابه
Unconditional Convergence in Banach Spaces
Introduction. This note investigates an apparent generalization of unconditionally convergent series ^ x » in weakly complete Banach spaces. A series of elements with Xi in E is said to be unconditionally convergent if for every variation of sign €j= ± 1 , ^TMeiXi is convergent. This formulation of the definition of unconditional convergence is equivalent to that given by Orliczjé]. We call ^Xi...
متن کاملUnconditional convergence and the Vitali-Hahn-Saks theorem
© Mémoires de la S. M. F., 1972, tous droits réservés. L’accès aux archives de la revue « Mémoires de la S. M. F. » (http:// smf.emath.fr/Publications/Memoires/Presentation.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impress...
متن کاملAbsolute Convergence in Ordered Fields
We explore the distinction between convergence and absolute convergence of series in both Archimedean and non-Archimedean ordered fields and find that the relationship between them is closely connected to sequential (Cauchy) completeness.
متن کاملUnconditional convergence of DIRK schemes applied to dissipative evolution equations
In this paper we prove the convergence of algebraically stable DIRK schemes applied to dissipative evolution equations on Hilbert spaces. The convergence analysis is unconditional as we do not impose any restrictions on the initial value or assume any extra regularity of the solution. The analysis is based on the observation that the schemes are linear combinations of the Yosida approximation, ...
متن کاملOn the unconditional convergence of wavelet expansions for continuous functions
In this paper, we study the unconditional convergence of wavelet expansions with Lipschitz wavelets. Especially with the Strömberg wavelet, we shall construct a counter example which shows that uniformly convergent wavelet expansions even for continuous functions do not always converge unconditionally in L∞(R). KeywordsUnconditional Convergence, Wavelet Expansion, Strömberg Wavelet. AMS Mathema...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1947
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1947-08755-3