Results 51 to 60 of about 877 (187)
Spatial numerical ranges of elements of Banach algebras
In this paper, the notion of spatial numerical range of elements of Banach algebras without identity is studied. Specifically, the relationship between spatial numerical ranges, numerical ranges and spectra is investigated.
A. K. Gaur, T. Husain
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On Amenability-Like Properties of a Class of Matrix Algebras
In this study, we show that a matrix algebra ℒℳIpA is a dual Banach algebra, where A is a dual Banach algebra and 1≤p≤2. We show that ℒℳIpℂ is Connes amenable if and only if I is finite, for every nonempty set I.
M. Rostami, S. F. Shariati, A. Sahami
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A small remark on small‐dimensional normed barreled spaces
Abstract Combining the methods of Brian and Stuart with the classical Dvoretzky theorem, we show that no infinite‐dimensional Banach space contains a barreled subspace of (algebraic) dimension
Damian Sobota
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On $p$-convexification of the Banach-Kantorovich lattice [PDF]
Let $B$ be a complete Boolean algebra, $Q(B)$ the Stone compact of $B$, and let $C_\infty (Q(B))$ be the commutative unital algebra of all continuous functions $x: Q(B) \to [-\infty, +\infty]$, assuming possibly the values $\pm\infty$ on nowhere-dense ...
Gavhar B. Zakirova
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Pseudoresolvents in Banach Algebras
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Bényi, Árpád, Dawson, Bryan
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Extremal rate of convergence in continuous dynamics
Abstract This paper deals with semigroups of holomorphic self‐maps of the upper half‐plane that exhibit an extremal (i.e., the slowest possible) rate of convergence to their Denjoy–Wolff point. The main novelty lies in the parabolic case of zero hyperbolic step.
Francisco J. Cruz‐Zamorano +1 more
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For a given Banach algebra ℳ{\mathcal{ {\mathcal M} }} and a continuous endomorphism ω\omega on ℳ{\mathcal{ {\mathcal M} }}, we define ℳ{\mathcal{ {\mathcal M} }} to be ωℒ{\omega }_{{\mathcal{ {\mathcal L} }}}-biprojective and ω¯\overline{\omega ...
Ghorbani Zahra
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Null projections and noncommutative function theory in operator algebras
Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
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Let A A be a semisimple Banach algebra with
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The general solution to an autoregressive law of motion
We provide a complete description of the set of all solutions to a vector autoregressive law of motion. Every solution is shown to be the sum of three components, each corresponding to a directed flow of time. One component flows forward from the arbitrarily distant past, one flows backward from the arbitrarily distant future, and one flows outward ...
Brendan K. Beare +2 more
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