지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
As an extension to the study of Toeplitz operators on the Bergman space, the notion of H-Toeplitz operators $B_\phi$ is introduced and studied. Necessary and sufficient conditions under which H-Toeplitz operators become co-isometry and partial isometry are obtained. Some of the invariant subspaces and kernels of H-Toeplitz operators are studied. We have obtained the conditions for the compactness and Fredholmness for H-Toeplitz operators. In particular, it has been shown that a non-zero H-Toeplitz operator can not be a Fredholm operator on the Bergman space. Moreover, we have also discussed the necessary and sufficient conditions for commutativity of H-Toeplitz operators.
목차
등록된 정보가 없습니다.
참고문헌 (16)
참고문헌 신청
P. Ahern / 2004 / Some examples related to the Brown-Halmos theorem for the Bergman space / Acta Sci. Math. (Szeged) 70(1-2):373~378
P. Aiena / 2004 / Fredholm and Local Spectral Theory, with Applications to Multipliers / Kluwer Acad. Publ
S. C. Arora / 2007 / On H-Toeplitz operators / Bull. Pure Appl. Math 1(2):141~154
S. Axler / 1988 / Surveys of some recent results in operator theory, Vol. I / Longman Sci. Tech :1~50
Sheldon Axler / 1982 / Toeplitz Operators on Bergman Spaces / Canadian Journal of Mathematics 34(2):466~483
P. Aiena / 2004 / Fredholm and Local Spectral Theory, with Applications to Multipliers / Kluwer Acad. Publ
S. C. Arora / 2007 / On H-Toeplitz operators / Bull. Pure Appl. Math 1(2):141~154
S. Axler / 1988 / Surveys of some recent results in operator theory, Vol. I / Longman Sci. Tech :1~50
Sheldon Axler / 1982 / Toeplitz Operators on Bergman Spaces / Canadian Journal of Mathematics 34(2):466~483
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Commutants of Toeplitz operators with polynomial symbols on the Dirichlet space
대한수학회논문집
2019 .01
-
Fredholm Toeplitz operators on the Dirichlet spaces of the polydisk
대한수학회보
2020 .01
-
Matrices of Toeplitz operators on Hardy spaces over bounded domains
대한수학회보
2017 .07
-
Special orthonormal basis for L2 functions on the unit circle
대한수학회보
2017 .01
-
Compact sums of Toeplitz products on weighted Dirichlet space of the unit ball
대한수학회보
2019 .01
-
Range inclusion of two same type concrete operators
대한수학회보
2016 .01
-
Slant H-Toeplitz operators on the Hardy space
대한수학회지
2019 .01
-
FREDHOLM TOEPLITZ OPERATORS ON THE PLURIHARMONIC DIRICHLET SPACE
호남수학학술지
2017 .01
-
Schatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weights
대한수학회보
2021 .01
-
Zero sums of dual Toeplitz products on the orthogonal complement of the Dirichlet space
대한수학회보
2023 .01
-
REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK
대한수학회보
2015 .01
-
Properties of $k^{th}$-order (slant Toeplitz + slant Hankel) operators on $ H^2(\mathbb{T} )$
대한수학회논문집
2020 .01
-
TOEPLITZ OPERATORS ON HARDY AND BERGMAN SPACES OVER BOUNDED DOMAINS IN THE PLANE
호남수학학술지
2017 .01
-
Toeplitz and Hankel operators with Carleson measure symbols
대한수학회논문집
2022 .01
-
$k^{th}$-order essentially slant weighted Toeplitz operators
대한수학회논문집
2019 .01
-
On $m$-isometric Toeplitz operators
대한수학회보
2018 .01
-
Reducing subspaces for a class of Toeplitz operators on weighted Hardy spaces over bidisk
대한수학회보
2017 .07
-
LINEAR PRESERVERS OF SYMMETRIC ARCTIC RANK OVER THE BINARY BOOLEAN SEMIRING
대한수학회지
2017 .07
-
Computation of the matrix of the Toeplitz operator on the Hardy space
대한수학회논문집
2019 .01
-
A sufficient condition for hyponormal Toeplitz operators on the Bergman space
대한수학회보
2024 .07
이 논문의 저자 정보
최근 본 자료
댓글(0)
0