Hyponormal Operators with Thick Spectra have Invariant Subspaces

Scott W. Brown

Type: Article

Publication Date: 1987-01-01

Citations: 79

DOI: https://doi.org/10.2307/1971289

View Publication

Locations

Annals of Mathematics - View

Similar Works

Action	Title	Year	Authors
+	M-HYPONORMAL OPERATORS : INVARIANT SUBSPACES AND SPECTRAL LOCALIZATION	2015	N. K. THAKARE S. V. PHADKE
+	Invariant subspaces for operators with Bishop's property (β) and thick spectrum	1990	Jörg Eschmeier Bebe Prunaru
+ PDF Chat	Principal functions and invariant subspaces of hyponormal operators	1983	Yoshihiro Nakamura
+	Spectral Mapping Theorems And Weyl Spectra For Hyponormal Operators	1998	Muneo Chō Yoshihiko Nagano
+	Spectral Mapping Theorems for Hyponormal Operators	2003	M. Chō Mariko Giga Young Min Han Tadasi Huruya
+	Spectral Mapping Theorems for Hyponormal Operators	2003	M. Chō Mariko Giga Young Min Han Tadasi Huruya
+	w-hyponormal operators II	2000	Ariyadasa Aluthge Derming Wang
+	w-Hyponormal Operators are Subscalar	2004	Lin Chen Yingbin Ruan Yan Zikun
+	?-Hyponormal operators	2000	Ariyadasa Aluthge Derming Wang
+	Hyponormal Operators	2018
+	Hyponormal operators	1991	J. Conway
+	Spectral theory of hyponormal operators	1983	Tao-hsing Hsia
+	Hyponormal operators in a hilbert space	1965	I. H. Sheth
+	Hyponormal operators and low density spectra	1968	C. R. Putnam
+	On the spectrum of hyponormal operators	1988	Shaokuan Li
+	Invariant subspaces for subnormal operators	2003	H. G. Dales Pietro Aiena Jörg Eschmeier Kjeld Laursen George A. Willis
+	w-Hyponormal Operators have Scalar Extensions	2005	Eungil Ko
+	Spectra of completely log-hyponormal operators	2000	M. Chō Tadasi Huruya Masuo Itoh
+	Hyponormal operators and related topics	1972	Teishirô Saitô
+	The spectra of hyponormal integral operators	1971	Kevin F. Clancey C. R. Putnam

Works That Cite This (77)

Action	Title	Year	Authors
+ PDF Chat	Local Spectral Properties of Typical Contractions on ℓp-Spaces	2022	Sophie Grivaux Étienne Matheron
+	On subscalarity of some <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mn>2</mml:mn><mml:mo>×</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math> class A operator matrices	2012	Eungil Ko Sungeun Jung Yoenha Kim
+	The Present State and Heritages of the Invariant Subspace Problem	2005	B. S. Yadav
+	The Local Spectral Properties of Extended Hamilton Operators	2018	Jun Li Shen Guo Ji Alatancang
+	Subscalarity, Invariant, and Hyperinvariant Subspaces for Upper Triangular Operator Matrices	2016	Salah Mecheri
+	Subscalarity of operators for which <i>T</i> <i>T</i> and <i>T</i> + <i>T</i> commute	2013	Sungeun Jung Eungil Ko
+ PDF Chat	On Invariant Subspaces of Subdecomposable Operators	2020	Junfeng Liu Songxiao Li
+	Invariant subspaces for operators whose spectra are Carathéodory regions	2010	Jaewoong Kim Woo Young Lee
+	On scalar extensions and spectral decompositions of complex symmetric operators	2011	Sungeun Jung Eungil Ko Ji Eun Lee
+	On invariant subspaces of operators in the class <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>θ</mml:mi></mml:math>	2012	Jaewoong Kim

Works Cited by This (10)

Action	Title	Year	Authors
+	Dual Algebras with Applications to Invariant Subspaces and Dilation Theory	1985	Hari Bercovici Ciprian Foiaş Carl Pearcy
+	Weak-star density of polynomials.	1972	Donald Sarason
+	Generalized Spectral Operators	1977	Ernst Albrecht
+	Pointwise bounded approximation and Dirichlet algebras	1971	T. W. Gamelin John B. Garnett
+ PDF Chat	Invariant subspaces for algebras of subnormal operators	1986	James E. Thomson
+ PDF Chat	A Hilbert Space Problem Book	1982	Paul R. Halmos
+	Algebras of subnormal operators	1980	Robert F. Olin James E. Thomson
+	Some invariant subspaces for subnormal operators	1978	Scott W. Brown
+	On Some Hypo-Dirichlet Algebras of Analytic Functions	1967	Patrick Ahern Donald Sarason
+	A functional calculus for subnormal operators. II	1977	John B. Conway Robert F. Olin