Boundedness of Functions on Product Spaces by Sums of Functions on the Factors

2013/12/31 by Stefan Born, Born, Stefan, Alexander Dirmeier +1
Mathematics · #26D99 #54C30 #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.1401.0130

openalex publication_date 2013/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate sufficient conditions for real-valued functions on product spaces to be bounded from above by sums or products of functions which depend only on points in the respective factors.

Related

• Products and Factors of Banach function spaces
• Boundedness properties in function spaces
• Uniform boundedness in function spaces
• Bounding the Chebychev Functional for a Pair of Sequences in Inner Product Spaces
• The Banach-Saks Property of the Banach Product Spaces