[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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Slodkowski Joint Spectrum and Tensor Product()

Slodkowski 联合谱和张量积

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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

Slodkowski 联合谱和张量积

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

史平¹, 计国君²

¹南京经济学院基础教学部, 南京 210003; ²东南大学应用数学系, 南京 210096

Keywords:

operators;  joint spectrum;  tensor product;  Koszul complex

算子;  联合谱;  张量积;  Koszul 复形

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.

Slodkowski联合谱类似于Taylor联合谱, 它具有更重要的理论和应用意义. 本文我们刻画了Slodkowski联合谱, 同时推广了关于张量积的几个结果.

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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