Results 1 to 10 of about 6,388 (84)
On strict inclusion relations between approximation and interpolation spaces [PDF]
, 2011 We study strict inclusion relations between approximation and interpolation spaces.Comment: 13 pages, Submitted to a ...
Almira, J. M.
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Interpolation of Hilbert and Sobolev Spaces: Quantitative Estimates and Counterexamples [PDF]
, 2014 This paper provides an overview of interpolation of Banach and Hilbert spaces, with a focus on establishing when equivalence of norms is in fact equality of norms in the key results of the theory.
A. Moiola +14 more
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Holomorphic Functions and polynomial ideals on Banach spaces [PDF]
, 2010 Given $\u$ a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, $H_{b\u}(E)$. We prove that, under very natural conditions verified by many usual classes of polynomials, the spectrum
Carando, Daniel +2 more
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Remarks on interpolation in certain linear spaces (III)
Journal of Numerical Analysis and Approximation Theory, 2006 In this paper we study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
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Some operator ideals in non-commutative functional analysis
, 1997 We characterize classes of linear maps between operator spaces $E$, $F$ which factorize through maps arising in a natural manner via the Pisier vector-valued non-commutative $L^p$ spaces $S_p[E^*]$ based on the Schatten classes on the separable Hilbert ...
Fidaleo, Francesco
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Stability results on interpolation scales of quasi-Banach spaces and applications
, 1997 We investigate stability of Fredholm properties on interpolation scales of quasi-Banach spaces.
Kalton, Nigel J., Mitrea, Marius
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Remarks on interpolation in certain linear spaces (IV)
Journal of Numerical Analysis and Approximation Theory, 2007 In the papers [5], [6], [7] we shall study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
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On Lipschitz Retraction of Finite Subsets of Normed Spaces
, 2019 If $X$ is a metric space, then its finite subset spaces $X(n)$ form a nested sequence under natural isometric embeddings $X = X(1)\subset X(2) \subset \cdots$.
Akofor, Earnest
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Elliptic operators on refined Sobolev scales on vector bundles
, 2017 We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product H\"ormander spaces parametrized with a real number and a function varying slowly at infinity in the sense of Karamata ...
Zinchenko, Tetiana
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Schutt's theorem for vector-valued sequence spaces
, 2013 The entropy numbers of certain finite-dimensional operators acting between vector-valued sequence spaces are estimated, thus providing a generalization of the famous result of Schutt.
Edmunds, David E, Netrusov, Yuri
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