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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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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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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 some low distortion metric Ramsey problems
, 2004 In this note, we consider the metric Ramsey problem for the normed spaces l_p. Namely, given some 1=1, and an integer n, we ask for the largest m such that every n-point metric space contains an m-point subspace which embeds into l_p with distortion at ...
Assaf Naor +3 more
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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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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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Asymptotically Hilbertian Modular Banach Spaces: Examples of Uncountable Categoricity
, 2016 We give a criterion ensuring that the elementary class of a modular Banach space E (that is, the class of Banach spaces, some ultrapower of which is linearly isometric to an ultrapower of E) consists of all direct sums E\oplus_m H, where H is an ...
Henson, C. Ward, Raynaud, Yves
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A brief survey of Nigel Kalton's work on interpolation and related topics [PDF]
, 2014 This is the third of a series of papers surveying some small part of the remarkable work of our friend and colleague Nigel Kalton. We have written it as part of a tribute to his memory. It does not contain new results.
Cwikel, Michael +2 more
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