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On the measure of noncompactness of linear operators in spaces of strongly α-summable and bounded sequences

✍ Scribed by Bruno de Malafosse; Eberhard Malkowsky


Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
228 KB
Volume
55
Category
Article
ISSN
0031-5303

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On the Action of a Linear Operator over
✍ Antonio Plans; Dolores Lerís 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 563 KB

In this paper we study the action of a bounded linear operator over different kinds of sequences of a Banach space. Our work is mainly devoted to minimal and Mbasic sequences. PLANS and GARC~A CASTELL~N have characterized the boundedneas of a linear operator T by requiring the minimality of any seq