arXiv Open Access 2002

Integral representations of unbounded operators by arbitrarily smooth Carleman kernels

Igor M. Novitskii

Lihat Sumber

Abstrak

In this paper, we give a characterization of all closed linear operators in a separable Hilbert space which are unitarily equivalent to an integral operator in $L_2(R)$ with bounded and arbitrarily smooth Carleman kernel on $R^2$. In addition, we give an explicit construction of corresponding unitary operators.

Topik & Kata Kunci

math.SP math.FA

Penulis (1)

Igor M. Novitskii

Format Sitasi

APA MLA BibTeX

Novitskii, I.M. (2002). Integral representations of unbounded operators by arbitrarily smooth Carleman kernels. https://arxiv.org/abs/math/0210186

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓