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pro vyhledávání: '"Esmeral, Kevin"'
We introduce a concept of approximately invertible elements in non-unital normed algebras which is, on one side, a natural generalization of invertibility when having approximate identities at hand, and, on the other side, it is a direct extension of
Externí odkaz:
http://arxiv.org/abs/2106.09103
The purpose of this paper is to propose a definition of continuous frames of rank n for Krein spaces and to study their basic properties. Similarly to the Hilbert space case, continuous frames are characterized by the analysis, the pre-frame and the
Externí odkaz:
http://arxiv.org/abs/2103.12267
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 July 2023 523(1)
Our purpose is to characterize the so-called horizontal Fock-Carleson type measures for derivatives of order $k$ (we write it $k$-hFC for short) for the Fock space as well as the Toeplitz operators generated by sesquilinear forms given by them. The b
Externí odkaz:
http://arxiv.org/abs/1904.00162
Autor:
Esmeral, Kevin, Maximenko, Egor A.
Publikováno v:
Complex Analysis and Operator Theory, 2016, volume 10, issue 7, pages 1655--1677
In this paper we show that the C*-algebra generated by radial Toeplitz operators with $L_{\infty}$-symbols acting on the Fock space is isometrically isomorphic to the C*-algebra of bounded sequences uniformly continuous with respect to the square-roo
Externí odkaz:
http://arxiv.org/abs/1505.07906
In this paper we extend to finite-dimensional Pontryagin spaces the methods used in \cite{CasazzaLeon,Deguang} to build frames from an adjoint and positive operator. It is proved that any frame in finite dimensional Pontryagin space $\mathcal{K}$ is
Externí odkaz:
http://arxiv.org/abs/1408.6584
If $\left(\h,\langle\cdot,\cdot\rangle\right)$ is a Hilbert space and on it we consider the sesquilinear form $\langle\,W\cdot,\cdot\rangle$ so-called $W$-metric, where $W^{*}=W\in\BH$, and $\ker\,W=\{0\}$, then the space $\left(\h,\langle\,W\cdot,\c
Externí odkaz:
http://arxiv.org/abs/1309.1219
A definition of frames in Krein spaces is stated and a complete characterization is given by comparing them to frames in the associated Hilbert space. The basic tools of frame theory are described in the formalism of Krein spaces. It is shown how to
Externí odkaz:
http://arxiv.org/abs/1304.2450
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 23, Iss 2, Pp 5-22 (2015)
In this paper we start considering a sesquilinear form 〈W·,·〉 defined over a Hilbert space (ℌ,〈·,·〉) where W is bounded (W* = W ∈ Ɓ(ℌ)) and ker W = {0}. We study the dynamic of frame of subspaces over the completion of (ℌ, 〈W·
Externí odkaz:
https://doaj.org/article/ff448642bc78490b8a362dfd514d89e1
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