Integral representations of unbounded operators by infinitely smooth kernels
| Autor: | Igor M. Novitskii |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: |
Unbounded operator
Discrete mathematics Mathematics::Operator Algebras General Mathematics integral linear operator Finite-rank operator Operator theory Compact operator Fourier integral operator Quasinormal operator 45p05 carleman kernel QA1-939 Unitary operator closed linear operator characterization theorems for integral operators Operator norm Mathematics 47g10 |
| Zdroj: | Open Mathematics, Vol 3, Iss 4, Pp 654-665 (2005) |
| ISSN: | 2391-5455 |
| Popis: | In this paper, we prove that every unbounded linear operator satisfying the Korotkov-Weidmann characterization is unitarily equivalent to an integral operator in L2(R), with a bounded and infinitely smooth Carleman kernel. The established unitary equivalence is implemented by explicitly definable unitary operators. |
| Databáze: | OpenAIRE |
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