Results 11 to 20 of about 142,886 (250)
On Nonseparable Banach Spaces [PDF]
Transactions of the American Mathematical Society, 1982 Combining combinatorial methods from set theory with the functional structure of certain Banach spaces we get some results on the isomorphic structure of nonseparable Banach spaces. The conclusions of the paper, in conjunction with already known results, give complete answers to problems of the theory of Banach spaces. An interesting point here is that
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Geometric duality theory of cones in dual pairs of vector spaces [PDF]
, 2015 This paper will generalize what may be termed the "geometric duality theory" of real pre-ordered Banach spaces which relates geometric properties of a closed cone in a real Banach space, to geometric properties of the dual cone in the dual Banach space ...
Messerschmidt, Miek
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Advances in Mathematics, 2005 We show that any Banach space contains a continuum of non isomorphic subspaces or a minimal subspace. We define an ergodic Banach space $X$ as a space such that $E_0$ Borel reduces to isomorphism on the set of subspaces of $X$, and show that every Banach space is either ergodic or contains a subspace with an unconditional basis $ which is ...
Valentin Ferenczi, Christian Rosendal
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An approach of Banach algebra in fuzzy metric spaces with an application
AIMS Mathematics, 2022 The purpose of this paper is to present a new concept of a Banach algebra in a fuzzy metric space (FM-space). We define an open ball, an open set and prove that every open ball in an FM-space over a Banach algebra A is an open set.
Saif Ur Rehman +3 more
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Slicely Countably Determined Banach spaces [PDF]
, 2009 We introduce the class of slicely countably determined Banach spaces which contains in particular all spaces with the RNP and all spaces without copies of $\ell_1$. We present many examples and several properties of this class.
Aviles, Antonio +4 more
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On classes of Banach spaces admitting "small" universal spaces [PDF]
, 2008 We characterize those classes $\ccc$ of separable Banach spaces admitting a separable universal space $Y$ (that is, a space $Y$ containing, up to isomorphism, all members of $\ccc$) which is not universal for all separable Banach spaces.
Dodos, Pandelis
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On incomparability of Banach spaces [PDF]
Mathematische Zeitschrift, 1986 We give a simpler proof of the well-known \textit{H. P. Rosenthal}'s characterization of totally incomparable Banach spaces [J. Funct. Anal. 4, 167-175 (1969; Zbl 0181.154)] and we introduce a dual concept of incomparability: Two Banach spaces are said to be totally coincomparable if they have no isomorphic quotients of infinite-dimension.
González, Manuel, Onieva, Victor M.
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Martingale transforms on Banach function spaces
Electronic Research Archive, 2022 We establish the boundedness of martingale transforms on Banach function spaces by using the Rubio de Francia extrapolation theory and the interpolation theorem by Zygmund.
Kwok-Pun Ho
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Some Banach spaces added by a Cohen real [PDF]
, 2014 We study certain Banach spaces that are added in the extension by one Cohen real. Specifically, we show that adding just one Cohen real to any model adds a Banach space of density $\aleph_1$ which does not embed into any such space in the ground model ...
Bell +11 more
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Journal of Functional Analysis, 1991 Building on the work of Grothendieck on tensor products and Fredholm determinants, the authors develop a theory of relative Pfaffians for operators (resp. bilinear forms) on Banach spaces. In the finite dimensional case, the relative Pfaffian of two skew-symmetric \(2k\times 2k\) matrices \(A\) and \(B\) (\(A\) being invertible) is defined to be ...
Slawomir Klimek, Andrzej Lesniewski
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