Zobrazeno 1 - 10
of 2 958
pro vyhledávání: '"Compact operator on Hilbert space"'
Publikováno v:
Proceedings of the American Mathematical Society.
A Hilbert space operator is called universal (in the sense of Rota) if every operator on the Hilbert space is similar to a multiple of the restriction of the universal operator to one of its invariant subspaces. We exhibit an analytic Toeplitz operat
Autor:
Grigori A. Karagulyan
Publikováno v:
Transactions of the American Mathematical Society. 372:4761-4803
We introduce a class of operators on abstract measure spaces, which unifies the Calder\'on-Zygmund operators on spaces of homogeneous type, the maximal functions and the martingale transforms. We prove that such operators can be dominated by simple s
Autor:
Gerardo A. Mendoza, Thomas Krainer
Publikováno v:
Mathematische Nachrichten. 291:1815-1850
The purpose of this paper is to provide a detailed description of the spaces that can be specified as $L^2$ domains for the operators of a first order elliptic complex on a compact manifold with conical singularities. This entails an analysis of the
Autor:
Razi Alavizadeh, Kazem Haghnezhad Azar
Publikováno v:
Ann. Funct. Anal. 9, no. 1 (2018), 101-110
We study several properties of the modulus of order bounded disjointness-preserving operators. We show that, if $T$ is an order bounded disjointness-preserving operator, then $T$ and $\vert T\vert $ have the same compactness property for several type
Autor:
Alireza Medghalchi, Ahmad Mollakhalili
Publikováno v:
Bulletin of the Iranian Mathematical Society. 44:101-136
A locally compact group G is compact if and only if its convolution algebra has a non-zero (weakly) compact multiplier. Dually, G is discrete if and only if its Fourier algebra has a non-zero (weakly) compact multiplier. In addition, G is compact (re
Autor:
Albrecht Pietsch
Publikováno v:
Integral Equations and Operator Theory. 89:595-606
In a series of papers, I developed a new approach to operator ideals on the infinite-dimensional separable Hilbert space and their traces. Step by step, the methods have been improved and generalized. Hence it is now justified to give a mirror polish
Autor:
Dijana Mosić
Publikováno v:
Quaestiones Mathematicae. 41:585-600
A new binary relation associated with the core–EP inverse is presented and studied on the corresponding subset of all generalized Drazin invertible bounded linear Hilbert space operators. Using the...
Autor:
Le Hai Khoi, Minh Luan Doan
Publikováno v:
Complex Variables and Elliptic Equations. 63:1558-1569
We discover a criterion for having a closed range and completely characterize the cyclic behavior of composition operators on a class of Hilbert spaces of entire functions in the complex plane C. MOE (Min. of Education, S’pore) Accepted version
Autor:
Alexander V. Abanin, T. I. Abanina
Publikováno v:
Russian Mathematics. 61:1-4
We obtain a complete description of families of continuous and compact composition operators on Hilbert spaces of entire functions. These operators were introduced by K. Chan and J. Shapiro for studying some dynamic properties of translation operator
Publikováno v:
Complex Variables and Elliptic Equations. 63:1408-1420
In this paper we find a formula for the adjoint of bounded pseudo-differential operators on compact Lie groups, which yields a necessary and sufficient condition for self-adjointness of these operators. By a similar method we find necessary and suffi