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Cyclic vectors in the Fock space over the complex plane
Author(s):
Kou
Hei
Izuchi
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3627-3630.
MSC (2000):
Primary 46J15, 46H25, 47A16
Posted:
June 3, 2005
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Abstract:
In this paper, we characterize the cyclic vectors in the Fock space over the complex plane. We prove that a function  is cyclic in the Fock space if and only if  is a nonvanishing function in  .
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Additional Information:
Kou
Hei
Izuchi
Affiliation:
Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan
Email:
f04n010j@mail.cc.niigata-u.ac.jp
DOI:
10.1090/S0002-9939-05-07938-4
PII:
S 0002-9939(05)07938-4
Keywords:
Fock space,
entire function,
cyclic vector
Received by editor(s):
July 21, 2004
Received by editor(s) in revised form:
August 17, 2004
Posted:
June 3, 2005
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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