[1] Shi Ping*, Ji Guojun,. Slodkowski Joint Spectrum and Tensor Product [J]. Journal of Southeast University (English Edition), 2001, 17 (1): 79-81. [doi:10.3969/j.issn.1003-7985.2001.01.019]

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

17

Issue:

2001 1

Page:

79-81

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2001-06-30

Info

Title:

Slodkowski Joint Spectrum and Tensor Product

Author(s):

Shi Ping^1*;  Ji Guojun²

¹Department of Teaching Basic Courses, Nanjing University of Economics, Nanjing 210003, China
²Department of Applied Mathematics, Southeast University, Naojing 210096, China

Keywords:

operators;  joint spectrum;  tensor product;  Koszul complex

PACS:

O177.1

DOI:

10.3969/j.issn.1003-7985.2001.01.019

Abstract:

Slodkowski joint spectrum is similar to Taylor joint spectrum, but it has more important meaning in theory and application. In this paper we characterize Slodkowski joint spectrum and generalize some results about tensor product.

References:

[1] Z.Slodkowski, An infinite family of joint spectra, Studia. Math., vol. 61, no.3, pp. 239-255, 1977
[2] J. L. Taylor, A joint spectrum for several commuting operators, J. Funct. Anal., vol.6, no.2, pp. 172-191, 1970
[3] R. E. Curto, Fredholm and invertible n-tuples of operators, the deformation problem, Trans. Amer. Math. Soc., vol. 266, no.1, pp. 129-157, 1981
[4] Z. Ceausescu, and F. H.Vasilescu, Tensor products and Tay-lor’s joint spectrum, Studia. Math., vol. 62, no.3, pp. 305-311, 1978

Memo

Memo:

* Born in 1963, male, master.

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