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Operator valued gramians and inner products on vector valued function spaces

Annali di Matematica Pura ed Applicata, 1974
The notation of Gramian matrix is generalized to operators between function spaces and then used to provide an operator-valued inner product between pairs of Hilbert space-valued Banach function spaces. In this context projection operators, Schwarz's inequality, and orthonormal series are discussed.
openaire   +2 more sources

Riemann–Stieltjes Integration of Operator-Valued Functions with Respect to Vector-Valued Functions in Banach Spaces

SIAM Journal on Mathematical Analysis, 1972
The concept of Riemann–Stieltjes integrals is generalized to operator-valued integrands and with respect to vector-valued functions. Integrals of this type appear in perturbation theory of linear operators and in quantum scattering theory. Different versions of such integrals are defined and their existence for given classes of functions is ...
openaire   +1 more source

Stević-Sharma Operator on Spaces of Vector-Valued Holomorphic Functions

Complex Analysis and Operator Theory, 2022
Xin Guo
exaly  

Litte Hankel Operators Between Vector-Valued Bergman Spaces on the Unit Ball

Integral Equations and Operator Theory, 2021
Edgar Tchoundja   +2 more
exaly  

Operator-valued Schatten spaces and quantum entropies

Letters in Mathematical Physics, 2023
Salman Beigi, Beigi Salman
exaly  

The Bergman projection on vector-valued L2-spaces with operator-valued weights

Journal of Functional Analysis, 2012
Olivia Constantin, Alexandru Aleman
exaly  

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