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The quotient shapes of lp and Lp spaces
Rad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti, 2018 All lp spaces (over the same field), p ≠ ∞, have the finite quotient shape type of the Hilbert space l2. It is also the finite quotient shape type of all the subspaces lp(p'), p < p' ≤ ∞, as well as of all their direct sum subspaces F0N(p'), 1 ≤ p' ≤ ∞. Furthermore, their countable and finite quotient shape types coincide.
Nikica Uglešić
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Noncommutative Lp-Spaces and Perturbations of KMS States [PDF]
, 2018 We extend the theory of perturbations of KMS states to some class of unbounded perturbations using noncommutative Lp-spaces. We also prove certain stability of the domain of the Modular Operator associated to a ||.||p-continuous state. This allows us to define an analytic multiple-time KMS condition and to obtain its analyticity together with some ...
Ricardo Correa da Silva
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On Interpolation in L p Spaces
Mathematical Notes, 2003 then X is an interpolation space between the spaces Lp and Lq . This means that any bounded linear operator T in Lp and Lq is also bounded in the space X . This theorem was proved by Boyd [1] in 1967 under the additional assumption that X possesses the Fatou property (see also [2] and [3, Theorem 5.16]).
Astashin, S. V., Maligranda, Lech
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Journal of Mathematical Analysis and Applications, 1994 Multiresolution analysis plays a major role in wavelet theory. In this paper, the author studies multiresolution of \(L_ p\) spaces. Let \(S\) be a shift-invariant subspace of \(L_ p(\mathbb{R}^ s)\) \((1\leq p\leq \infty)\) generated by a finite number of functions with compact support, and let \(S_ k\) be the \(2^ k\)-dilate of \(S\) for each integer
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The Vervaat Process in Lp Spaces
Journal of Multivariate Analysis, 2001 Let \(E_n\) be the empirical distribution function based on a sample of size \(n\) from the uniform \((0,1)\) distribution, and let \(E_n^{-1}\) be the left-continuous inverse of \(E_n\). Moreover, set \(\beta_n^U=E_n-I\) and \(\gamma_n^U=E_n^{-1}-I\), where \(I\) denotes the identity function.
Miklós Csörgoő, Ričardas Zitikis
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Isometric Embedding in lp-spaces
European Journal of Combinatorics, 1990 We prove that every n-point subset of lp (1 ⩽ p ⩽ ∞) embeds isometrically into lpm, where lpm, and that for 1 ⩽ p < 2 this result is essentially best possible.
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Convergence of convex integrals in Lp spaces
Journal of Mathematical Analysis and Applications, 1976 AbstractWe consider functionals of the form: If(u) = ∝T f[t, u(t)]μ(dt), which are defined on spaces Lp(T, Rk), and we study for these functionals the properties of a convergence for which the conjugacy If → If∗ is a continuous operator.
François de Thelin, Jean-Luc Joly
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Journal of Functional Analysis, 1969 AbstractIn the theory of partial differential equations one encounters two types of a priori estimates: a) estimates in the Lp norm, b) Schauder estimates, i.e. estimates in the Lipα norm. It would therefore be desirable to be able to deal simultanously with this two different types of norms. An attempt to achieve this is provided by the theory of Lp,λ
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Notes on noncommutative LP and Orlicz spaces
, 2020 Since the pioneering work of Dixmier and Segal in the early 50’s, the theory of noncommutative LP-spaces has grown into a very refined and important theory with wide applications. Despite this fact there is as yet no self-contained peer-reviewed introduction to the most general version of this theory in print. The present work aims to fill this vacuum,
Goldstein, Stanisław +1 more
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The Walsh basis in the Lp-spaces of hyperfinite III_λ-factors, 0 < λ<= 1 [PDF]
, 2022 Martijn Caspers +2 more
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