Unified approach to vector valued integration
Robdera, Mangatiana A.
PublisherPushpa Publishing House, www.pphmj.com
Rightsit is available under Creative Commons License
Rights holderPushpa Publishing House
MetadataShow full item record
We introduce a natural and more flexible approach to the definition of vector valued integral that will completely forgo any measurability assumption, strengthen the existing various classical concepts of integral, and provide a continuous thread tying the subject matter together. As applications, we obtain extensions of the Lebesgue convergence theorems, the Dvoretsky-Rogers theorem, and the Orlicz-Pettis theorem.