Multiplier Convergent Series
дец 2008. · World Scientific
E-knjiga
264
Stranica
family_home
Ispunjava uslove
info
O ovoj e-knjizi
If λ is a space of scalar-valued sequences, then a series ∑j xj in a topological vector space X is λ-multiplier convergent if the series ∑j=1∞ tjxj converges in X for every {tj} ελ. This monograph studies properties of such series and gives applications to topics in locally convex spaces and vector-valued measures. A number of versions of the Orlicz–Pettis theorem are derived for multiplier convergent series with respect to various locally convex topologies. Variants of the classical Hahn–Schur theorem on the equivalence of weak and norm convergent series in ι1 are also developed for multiplier convergent series. Finally, the notion of multiplier convergent series is extended to operator-valued series and vector-valued multipliers.
If λ is a space of scalar-valued sequences, then a series ∑j xj in a topological vector space X is λ-multiplier convergent if the series ∑j=1∞ tjxj converges in X for every {tj} ελ. This monograph studies properties of such series and gives applications to topics in locally convex spaces and vect...
Otkrijte još
Ocenite ovu e-knjigu
Javite nam svoje mišljenje.
Informacije o čitanju
Pametni telefoni i tableti
Instalirajte aplikaciju Google Play knjige za Android i iPad/iPhone. Automatski se sinhronizuje sa nalogom i omogućava vam da čitate onlajn i oflajn gde god da se nalazite.
Laptopovi i računari
Možete da slušate audio-knjige kupljene na Google Play-u pomoću veb-pregledača na računaru.
E-čitači i drugi uređaji
Da biste čitali na uređajima koje koriste e-mastilo, kao što su Kobo e-čitači, treba da preuzmete fajl i prenesete ga na uređaj. Pratite detaljna uputstva iz centra za pomoć da biste preneli fajlove u podržane e-čitače.
