2016/05/09 by Kumari, Rani, Sarkar, Jaydeb, Sarkar, Srijan +1
#14M99 #30H10 #46E20 #47A13 #47A20 #47A56 #47B38 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.1605.02544
The paper discusses a series of results concerning reproducing kernel Hilbert spaces, related to the factorization of their kernels. In particular, it is proved that for a large class of spaces isometric multipliers are trivial. One also gives for certain spaces conditions for obtaining a particular type of dilation, as well as a classification of Brehmer type submodules.