Results 71 to 80 of about 4,018,978 (218)
Arens Regularity and Weak Amenability of Certain Matrix Algebras [PDF]
Motivated by an Arens regularity problem, we introduce the concepts of matrix Banach space and matrix Banach algebra. The notion of matrix normed space in the sense of Ruan is a special case of our matrix normed system.
doaj
This note presents a useful tool in Banach space theory: ultraproducts of Banach spaces. These provide a uniform method for manufacturing locally similar Banach spaces. In this way they relate local (finite dimensional) and global (infinite dimensional) structure.
openaire +2 more sources
On Steffensen’s method on Banach spaces
We present a modification of Steffensen's method as a predictor-corrector iterative method, so that we can use Steffensen's method to approximate a solution of a nonlinear equation in Banach spaces from the same starting points from which Newton's method converges.
J. A. Ezquerro +3 more
openaire +5 more sources
Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation
A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan +3 more
wiley +1 more source
Some Intersections of the Weighted -Spaces
Let be a locally compact group an arbitrary family of the weight functions on and . The locally convex space as a subspace of is defined. Also, some sufficient conditions for that space to be a Banach space are provided.
F. Abtahi +3 more
doaj +1 more source
Vector-valued holomorphic and harmonic functions
Holomorphic and harmonic functions with values in a Banach space are investigated. Following an approach given in a joint article with Nikolski [4] it is shown that for bounded functions with values in a Banach space it suffices that the composition with
Arendt Wolfgang
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Spectral Submanifolds of Delay Systems: Control in Continuous and Discrete Time
ABSTRACT This paper presents both continuous‐time and discretization‐based approaches for constructing spectral submanifolds (SSMs) for time delay systems. The continuous‐time approach built upon sun–star calculus, reformulates the governing delay differential equation (DDE) as an operator differential equation (OpDE).
Bence Szaksz +2 more
wiley +1 more source
Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space
The generalized numerical index of a Banach space is introduced, and its properties on certain Banach spaces are studied. Ed-dari's theorem on the numerical index is extended to the generalized index and polynomial numerical index of a Banach space.
Sung Guen Kim, Han Ju Lee
doaj +1 more source
A ninny, an idiot and an economic theorist
Abstract Anton Chekhov's story ‘The ninny’ meets the question: ‘What is the meaning of economic theory?’
Ariel Rubinstein
wiley +1 more source
In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space.
Auwalu Abba
doaj +1 more source

