Results 101 to 110 of about 1,127,143 (202)
Antiproximinal Norms in Banach Spaces
Journal of Approximation Theory, 2002 A closed convex subset \(C\) of a Banach space \((X,\| \;\| )\) is called antiproximinal if no point outside \(C\) has a nearest point in \(C\). This is equivalent to the property supp \(C \cap NA_{ \| \;\| }= \{0\}\), where supp \(C\) denotes the set of all support functionals of the set \(C\) and \(NA_{ \| \;\| }=\, \)supp \(B_ {\| \;\| }\) are the ...
Jonathan M. Borwein +2 more
openaire +2 more sources
Genericity and amalgamation of classes of Banach spaces [PDF]
, 2007 We study universality problems in Banach space theory. We show that if A is an analytic class, in the Effros–Borel structure of subspaces of C([0,1]), of non-universal separable Banach spaces, then there exists a non-universal separable Banach space Y ...
Argyros, Spiros A. +5 more
core +1 more source
Criteria for Banach spaces [PDF]
Pacific Journal of Mathematics, 1972 Valentine, J. E., Wayment, S. G.
openaire +2 more sources
On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases
Advances in Mathematics, 2015 We present a new proof of Zippin's Embedding Theorem, that every separable reflexive Banach space embeds into one with shrinking and boundedly complete basis, and every Banach space with a separable dual embeds into one with a shrinking basis. This new proof leads to improved versions of other embedding results.
openaire +3 more sources
Banach spaces with few operators and multiplier results [PDF]
, 1997 The construction of a non-separable reflexive Banach space on which every operator is the sum of a scalar multiple of the identity operator and an operator of separable range is presented. Using a result of Rao, a sufficient condition is given for Banach
Wark, Hugh M., Wark, H. M.
core +1 more source
Constructive Analysis on Banach Spaces
Real Analysis Exchange, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gill, Tepper L., Myers, Timothy
openaire +2 more sources
Local rigidity of infinite-dimensional Teichmüller spaces [PDF]
, 2006 This paper presents a rigidity theorem for infinite-dimensional Bergman spaces of hyperbolic Riemann surfaces, which states that the Bergman space $A^{1}(M)$, for such a Riemann surface $M$, is isomorphic to the Banach space of summable sequence, $l^{1}$.
Fletcher, A. (Alastair)
core +1 more source
Holomorphic Processes in Banach Spaces and Banach Algebras
Journal of Multivariate Analysis, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Generalized Hyers-Ulam Stability of Quadratic Functional Inequality
Abstract and Applied Analysis, 2013 We establish the general solution of the functional inequality and then investigate the generalized Hyers-Ulam stability of this inequality in Banach spaces and in non-Archimedean Banach spaces.
Hark-Mahn Kim +2 more
doaj +1 more source
Banach-Saks Type and Gurariǐ Modulus of Convexity of Some Banach Sequence Spaces
Abstract and Applied Analysis, 2014 Banach-Saks type is calculated for two types of Banach sequence spaces and Gurariǐ modulus of convexity is estimated from above for the spaces of one type among them.
Henryk Hudzik +3 more
doaj +1 more source