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Local Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates
(Springer, 2020-07)
In this paper we introduce variable exponent local Hardy spaces $hLp$ associated with a non-negative self-adjoint operator $L$. We assume that, for every $t>0$, the operator $e^{-tL}$ has an integral representation whose ...
Algebraic treatment of the pais-uhlenbeck oscillator and its pt-variant
(National Research Council Canada-NRC Research Press, 2020-10)
The algebraic method enables one to study the properties of the spectrum of a quadratic Hamiltonian through the mathematical properties of a matrix representation called regular or adjoint. This matrix exhibits exceptional ...
Jensen's inequality for spectral order and submajorization
(Academic Press Inc Elsevier Science, 2007-07)
Let A be a C*-algebra and φ{symbol} : A → L (H) be a positive unital map. Then, for a convex function f : I → R defined on some open interval and a self-adjoint element a ∈ A whose spectrum lies in I, we obtain a Jensen's-type ...
A categorical construction for the computational definition of vector spaces
(Springer, 2020-10)
Lambda-S is an extension to first-order lambda calculus unifying two approaches of non-cloning in quantum lambda-calculi. One is to forbid duplication of variables, while the other is to consider all lambda-terms as algebraic ...