scholarly journals Analyticity of transition semigroups and closability of bilinear forms in Hilbert spaces

1995 ◽  
Vol 115 (1) ◽  
pp. 53-71 ◽  
Author(s):  
Marco Fuhrman
Keyword(s):  
Hilbert Spaces ◽  
Bilinear Forms ◽  
Transition Semigroups

On the norm continuity of transition semigroups in Hilbert spaces

1998 ◽  
Vol 70 (1) ◽  
pp. 52-56 ◽  
Author(s):  
Wolfgang Desch ◽  
Abdelaziz Rhandi
Keyword(s):  
Hilbert Spaces ◽  
Norm Continuity ◽  
Transition Semigroups

Smoothing properties of transition semigroups in hilbert spaces

1991 ◽  
Vol 35 (2) ◽  
pp. 63-77 ◽  
Author(s):  
Giuseppe Da Prato ◽  
Jerzy Zabczyk
Keyword(s):  
Hilbert Spaces ◽  
Transition Semigroups

scholarly journals New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry

2021 ◽  
Vol 41 (3) ◽  
pp. 283-300
Author(s):  
Daniel Alpay ◽  
Palle E.T. Jorgensen
Keyword(s):  
Hilbert Spaces ◽  
Reproducing Kernel ◽  
Reproducing Kernel Hilbert Space ◽  
Positive Definite ◽  
Reproducing Kernel Hilbert Spaces ◽  
Bilinear Forms ◽  
Metric Geometry ◽  
Positive Definite Kernels ◽  
Positive Definite Kernel ◽  
Kernel Hilbert Spaces

We give two new global and algorithmic constructions of the reproducing kernel Hilbert space associated to a positive definite kernel. We further present a general positive definite kernel setting using bilinear forms, and we provide new examples. Our results cover the case of measurable positive definite kernels, and we give applications to both stochastic analysis and metric geometry and provide a number of examples.

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