Results 11 to 20 of about 1,120,571 (76)
Optimal control of stochastic partial differential equations in Banach spaces [PDF]
, 2010 In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio
core +7 more sources
An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]
, 2010 We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property
Laustsen, Niels Jakob, Bird, Alistair
core +4 more sources
Reverses of the Triangle Inequality in Banach Spaces [PDF]
, 2005 Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained.
Dragomir, Sever S
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Maximal ideals in the algebra of operators on certain Banach spaces. [PDF]
, 2002 For a Banach space $\mathfrak{X}$, let $\mathcal{B}(\mathfrak{X})$ denote the Banach algebra of all continuous linear operators on $\mathfrak{X}$. First, we study the lattice of closed ideals in $\mathcal{B}(\mathfrak{J}_p)$, where $1 < p < \infty$ and $\
Laustsen, Niels J.
core +4 more sources
Several Inequalities of Frechet Spaces [PDF]
, 2005 Several inequalities of Frechet spaces are given in this paper, which can be regarded as the Frechet spaces versions of the well-known polarization identity occurring in Hilbert spaces. Our results generalize many inequalities in Banach spaces.
Shi, Chaofeng
core +6 more sources
Approximate isomorphism of metric structures
Mathematical Logic Quarterly, Volume 69, Issue 4, Page 482-507, November 2023., 2023 Abstract We give a formalism for approximate isomorphism in continuous logic simultaneously generalizing those of two papers by Ben Yaacov [2] and by Ben Yaacov, Doucha, Nies, and Tsankov [6], which are largely incompatible. With this we explicitly exhibit Scott sentences for the perturbation systems of the former paper, such as the Banach‐Mazur ...
James E. Hanson
wiley +1 more source
Unique Common Fixed Points for Occasionally Weakly Biased Maps of Type A in b‐Metric‐Like Spaces
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 We start this work by demonstrating the existence of unique common fixed points for two pairs of occasionally weakly biased maps of type A in a b‐metric‐like space, and we end it by producing two illustrative examples in order to support and show that our results are meaningful.
Hakima Bouhadjera +5 more
wiley +1 more source
Injective metrics on buildings and symmetric spaces
Bulletin of the London Mathematical Society, Volume 54, Issue 6, Page 2297-2313, December 2022., 2022 Abstract In this article, we show that the Goldman–Iwahori metric on the space of all norms on a fixed vector space satisfies the Helly property for balls. On the non‐Archimedean side, we deduce that most classical Bruhat–Tits buildings may be endowed with a natural piecewise ℓ∞$\ell ^\infty$ metric which is injective. We also prove that most classical
Thomas Haettel
wiley +1 more source
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this study, we use the alternative fixed‐point approach and the direct method to examine the generalized Hyers–Ulam stability of the quartic functional equation g(u + mv) + g(u − mv) = 2(m − 1)(7m − 9)g(u) + 2(m2 − 1)m2g(v) − (m − 1)2g(2u) + m2{g(u + v) + g(u − v)}, with a fixed positive integer m/ge2 in the context of (β, p)‐Banach space.
Ravinder Kumar Sharma +2 more
wiley +1 more source
Penot’s Compactness Property in Ultrametric Spaces with an Application
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this work, we investigate the compactness property in the sense of Penot in ultrametric spaces. Then, we show that spherical completeness is exactly the Penot’s compactness property introduced for convexity structures. The spherical completeness property misled some mathematicians to it to hyperconvexity in metric spaces.
Mostafa Bachar +3 more
wiley +1 more source