Results 11 to 20 of about 8,714,469 (204)

A Decomposition of the Dual Space of Some Banach Function Spaces [PDF]

open access: yesJournal of Function Spaces and Applications, 2012
We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space EXP𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿𝑝,∞, and the Grand Lebesgue Space 𝐿𝑝),𝜃.
Claudia Capone, Maria Rosaria Formica
doaj   +3 more sources

An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]

open access: yes, 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
Alistair Bird   +3 more
core   +4 more sources

Optimal control of stochastic partial differential equations in Banach spaces [PDF]

open access: yes, 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

Sesquilinear quantum stochastic analysis in Banach space [PDF]

open access: yes, 2014
A theory of quantum stochastic processes in Banach space is initiated. The processes considered here consist of Banach space valued sesquilinear maps.
Lindsay, Martin   +2 more
core   +4 more sources

Ornstein-Uhlenbeck processes in Banach spaces and their spectral representations. [PDF]

open access: yes, 2002
For Q the variance of some centred Gaussian random vector in a separable Banach space it is shown that, necessarily, Q factors through $\ell^2$ as a product of 2-summing operators.
Groves, James S.
core   +5 more sources

Maximal ideals in the algebra of operators on certain Banach spaces. [PDF]

open access: yes, 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

A function space integral for a Banach space of functionals on Wiener space [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
In an earlier paper the authors established the existence of Cameron and Storvick's function space integral J,(F) for a class of finite-dimensional functionals F. Here we consider a space A of not necessarily finite-dimensional functionals generated by the earlier functionals.
Johnson, G. W., Skoug, D. L.
openaire   +2 more sources

Minimization of Tikhonov Functionals in Banach Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2008
Tikhonov functionals are known to be well suited for obtaining regularized solutions of linear operator equations. We analyze two iterative methods for finding the minimizer of norm‐based Tikhonov functionals in Banach spaces. One is the steepest descent method, whereby the iterations are directly carried out in the underlying space, and the other one ...
Bonesky, Thomas   +4 more
openaire   +4 more sources

Banach spaces of GLT sequences and function spaces

open access: yesThe Electronic Journal of Linear Algebra, 2022
Generalized locally Toeplitz (GLT) sequences of matrices originated from the spectral study of certain partial differential equations. To be more precise, such matrix sequences arise when we numerically approximate either partial differential equations or fractional differential equations using any discretization by local methods (finite differences ...
Kumar, V. B. Kiran   +2 more
openaire   +3 more sources

A peculiar Banach function space [PDF]

open access: yesProceedings of the American Mathematical Society, 1965
Let (S, E, ,u) be a a-finite measure space. A length function on (S, E, ,u) is a non-negative, extended-real-valued function X on the set P=P(S, E, ,u) of non-negative, real-valued, 2-measurable functions on S such that (1) X(f) = Of = O a.e. (u); (2) X(f+g) ? (f) 1f (f); (5) E C Y, ,ut (E) 0DfEfdA -?< aX (f) for all f CP.
openaire   +2 more sources

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