Compactness properties of bounded subsets of spaces of vector measure integrable functions and factorization of operators | Zendy

Lluís Miquel García Raffi | Zendy; Enrique A. SánchezPérez | Zendy

Open Access

Compactness properties of bounded subsets of spaces of vector measure integrable functions and factorization of operators

Author(s) -

Lluís Miquel García Raffi,

Enrique A. SánchezPérez

Publication year - 2005

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2005.1952

Subject(s) - mathematics , compact space , bounded function , measure (data warehouse) , banach space , pure mathematics , integrable system , factorization , locally integrable function , bounded inverse theorem , regular polygon , representation theorem , locally convex topological vector space , operator theory , discrete mathematics , finite rank operator , mathematical analysis , topological space , geometry , algorithm , database , computer science

Using compactness properties of bounded subsets of spaces of vector measure integrable functions and a representation theorem for q-convex Banach lattices, we prove a domination theorem for operators between Banach lattices. We generalize in this way several classical factorization results for operators between these spaces, as psumming operators

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