SOME PROPERTIES OF TOEPLITZ OPERATORS WITH SYMBOL ¹

• 발행기관: 충청수학회
• 저자명: Si Ho Kang
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 3, 471~479쪽, 전체 9쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.09.30

영문 초록

For a complex regular Borel measure ¹ on ­ which is a subset of Ck, where k is a positive integer we de¯ne the Toeplitz operator T¹ on a reproducing analytic space which comtains poly-nomials. Using every symmetric polynomial is a polynomial of ele-mentary polynomials, we show that if T¹ has ¯nite rank then ¹ is a ¯nite linear combination of point masses.

목차

1. Introduction

2. Polynomials

3. Toeplitz operators

References