The James theorem in complete random normed modules
By T. Guo, Shaowen Li. 2005
65 citations recorded by the source corpus.
The purpose of this paper is to generalize the classical James theorem characterizing the reflexivity of Banach spaces to one characterizing the random reflexivity of complete random normed modules.
Subfields: Management Science and Operations Research, Mathematical Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/d6f1591624458ba554dc39fa9e570eb3261c7865
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Management Science and Operations Research
In Mathematical Physics
In Statistics and Probability
Citations in the corpus
- A Short and Partial History of Probabilistic Normed Spaces (2006, background): “This theory may be studied in a series of papers, of which only the latest one [8], which has a rich bibliography, will be quoted here.”
- The relation of Banach-Alaoglu theorem and Banach-Bourbaki-Kakutani-Šmulian theorem in complete random normed modules to stratification structure (2008, methodology): “is grasping the above connections and utilizing the rich stratification structure of RN modules that we successfully generalized in [ 12 ] the equivalence of (1) to (2) at the beginning of this section to the context of complete RN modules, namely we obtained the following Proposition 1.1 [12, Theor”
- Recent progress in random metric theory and its applications to conditional risk measures (2010, methodology): “ioned that the notions of L0−seminorm and L0−norm have been known for ten years after the notion of an RN module was given in [14], and the two notions were frequently employed in our previous papers [3, 18, 58]. Recently, the two notions of an L0−seminorm and L0−norm were rediscovered in [48, 49] a”