Results 1 to 10 of about 858,999 (126)
Compressive Identification of Linear Operators [PDF]
2011 IEEE International Symposium on Information Theory Proceedings, 2011 We consider the problem of identifying a linear deterministic operator from an input-output measurement. For the large class of continuous (and hence bounded) operators, under additional mild restrictions, we show that stable identifiability is possible ...
Bölcskei, Helmut, Heckel, Reinhard
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The approximation of linear operators [PDF]
Transactions of the American Mathematical Society, 1971 Let L(E, F) be the vector space of all linear maps of E into F. Consider a subspace G of L(E, F) such as all continuous maps. In G distinguish a subspace H of maps which are to be approximated by members of a smaller subspace N of G. Thus we always have N^H^G^L^E, F).
Brace, J. W., Richetta, P. J.
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Recurrent Linear Operators [PDF]
Complex Analysis and Operator Theory, 2013 38 pages; final version, incorporates referee's report; to appear in Complex Anal.
Costakis, George +2 more
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Pseudospectra of Linear Operators [PDF]
SIAM Review, 1997 This overview is a companion to the author's article [Pitman Res. Notes Math. Ser. 260, 234-266 (1992; Zbl 0798.15005)], where the matrix case was treated. In this paper newer results on the pseudospectrum of operators are presented and thoroughly discussed. It contains ten examples for pseudospectra of bounded and unbounded operators, e.g.
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Maximality of linear operators [PDF]
Rendiconti del Circolo Matematico di Palermo Series 2, 2018 We present maximality results in the setting of non necessarily bounded operators. In particular, we discuss and establish results showing when the "inclusion" between operators becomes a full equality.
Meziane, Mohammed +1 more
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Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces [PDF]
, 2006 In this paper we derive structure theorems that characterize the spaces of linear and non-linear differential operators that preserve finite dimensional subspaces generated by polynomials in one or several variables.
Gomez-Ullate, David +2 more
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Hypercausal Linear Operators [PDF]
SIAM Journal on Control and Optimization, 1984 Several different classes of hypercausal operators appear in linear system theory. This paper provides, for each pair of classes of hypercausal operators, necessary and sufficient conditions on the Hilbert resolution space to guarantee equality of the classes. In addition, the effect of similarity transforms on each class is studied.
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Linear differential operators on contact manifolds [PDF]
, 2012 We consider differential operators between sections of arbitrary powers of the determinant line bundle over a contact manifold. We extend the standard notions of the Heisenberg calculus: noncommutative symbolic calculus, the principal symbol, and the ...
Charles H. Conley +4 more
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Logical operators for ontological modeling [PDF]
, 2014 We show that logic has more to offer to ontologists than standard first order and modal operators. We first describe some operators of linear logic which we believe are particularly suitable for ontological modeling, and suggest how ...
Borgo, Stefano +2 more
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Dilatations of Linear Operators
Contemporary Mathematics. Fundamental Directions, 2020 The article is devoted to building various dilatations of linear operators. The explicit construction of a unitary dilation of a compression operator is considered. Then the J -unitary dilatation of a bounded operator is constructed by means of the operator knot concept of a bounded linear operator.
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