Schur product of matrices and numerical radius (range) preserving maps

On the boundary of the numerical range of a matrix

Chien, Mao-Ting
Yeh, Lina

June 2010

AbstractA characterization of real matrices is given for which a diagonal entry of a matrix is a bou...

Linear maps transforming the higher numerical ranges

Li, Chi-Kwong
Poon, Yiu-Tung
Sze, Nung-Sing

May 2005

AbstractLet k∈{1,…,n}. The k-numerical range of A∈Mn is the setWk(A)={(trX*AX)/k:Xisn×k,X*X=Ik},and ...

Matrix polynomials with spectral radius equal to the numerical radius

Wimmer, Harald K.

September 2011

AbstractIn this paper we study a class of matrix polynomials with the property that spectral radius ...

Schur product of matrices and numerical radius (range) preserving maps

Li, Chi-Kwong
Poon, Edward

July 2007

AbstractLet F(A) be the numerical range or the numerical radius of a square matrix A. Denote by A∘B ...

Numerical range and product of matrices

Alizadeh, R.

September 2012

AbstractIn this paper, we prove the converse of a well known result in the field of the numerical ra...

Maps preserving the joint numerical radius distance of operators

Li, Chi-Kwong
Poon, Edward

September 2012

AbstractDenote the joint numerical radius of an m-tuple of bounded operators A=(A1,…,Am) by w(A). We...

Nonlinear maps preserving numerical radius of indefinite skew products of operators

Hou, Jinchuan
He, Kan
Zhang, Xiuling

April 2009

AbstractLet H be a complex Hilbert space of dimension greater than 2 and J∈B(H) be an invertible sel...

Schur-multiplicative maps preserving unitarily invariant norms

Poon, Edward

February 2008

AbstractCharacterizations are obtained for maps on real or complex matrices which preserve both the ...

Linear operators on matrices: The invariance of the decomposable numerical radius

Tam, Tin-Yau

March 1987

AbstractThe characterization of all linear operators on matrices which preserve the decomposable num...

Numerical ranges of nilpotent operators

Gau, Hwa-Long
Wu, Pei Yuan

August 2008

AbstractFor any operator A on a Hilbert space, let W(A), w(A) and w0(A) denote its numerical range, ...

Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices

Li, Chi-Kwong
Rodman, Leiba

April 2009

AbstractLet Mn+ be the set of entrywise nonnegative n×n matrices. Denote by r(A) the spectral radius...

Numerical ranges of an operator on an indefinite inner product space

Uhlig, F
Li, CK
Tsing, NK

January 1996

For n x n complex matrices A and an n x n Hermitian matrix S, we consider the S-numerical range of A...

Non-linear numerical radius isometries on atomic nest algebras and diagonal algebras

Cui, Jianlian
Hou, Jinchuan

January 2004

AbstractA nonlinear map φ between operator algebras is said to be a numerical radius isometry if w(φ...

Maps preserving the nilpotency of products of operators

Li, Chi-Kwong
Šemrl, Peter
Sze, Nung-Sing

July 2007

AbstractLet B(X) be the algebra of all bounded linear operators on the Banach space X, and let N(X) ...

Multiplicative maps preserving the higher rank numerical ranges and radii

Clark, Sean
Li, Chi-Kwong
Sze, Nung-Sing

June 2010

AbstractLet Mn be the semigroup of n×n complex matrices under the usual multiplication, and let S be...

On the boundary of the numerical range of a matrix

Chien, Mao-Ting
Yeh, Lina

June 2010

AbstractA characterization of real matrices is given for which a diagonal entry of a matrix is a bou...

Linear maps transforming the higher numerical ranges

Li, Chi-Kwong
Poon, Yiu-Tung
Sze, Nung-Sing

May 2005

AbstractLet k∈{1,…,n}. The k-numerical range of A∈Mn is the setWk(A)={(trX*AX)/k:Xisn×k,X*X=Ik},and ...

Matrix polynomials with spectral radius equal to the numerical radius

Wimmer, Harald K.

September 2011

AbstractIn this paper we study a class of matrix polynomials with the property that spectral radius ...

Schur product of matrices and numerical radius (range) preserving maps

Li, Chi-Kwong
Poon, Edward

July 2007

AbstractLet F(A) be the numerical range or the numerical radius of a square matrix A. Denote by A∘B ...

Numerical range and product of matrices

Alizadeh, R.

September 2012

AbstractIn this paper, we prove the converse of a well known result in the field of the numerical ra...

Maps preserving the joint numerical radius distance of operators

Li, Chi-Kwong
Poon, Edward

September 2012

AbstractDenote the joint numerical radius of an m-tuple of bounded operators A=(A1,…,Am) by w(A). We...

Nonlinear maps preserving numerical radius of indefinite skew products of operators

Hou, Jinchuan
He, Kan
Zhang, Xiuling

April 2009

AbstractLet H be a complex Hilbert space of dimension greater than 2 and J∈B(H) be an invertible sel...

Schur-multiplicative maps preserving unitarily invariant norms

Poon, Edward

February 2008

AbstractCharacterizations are obtained for maps on real or complex matrices which preserve both the ...

Linear operators on matrices: The invariance of the decomposable numerical radius

Tam, Tin-Yau

March 1987

AbstractThe characterization of all linear operators on matrices which preserve the decomposable num...

Numerical ranges of nilpotent operators

Gau, Hwa-Long
Wu, Pei Yuan

August 2008

AbstractFor any operator A on a Hilbert space, let W(A), w(A) and w0(A) denote its numerical range, ...

Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices

Li, Chi-Kwong
Rodman, Leiba

April 2009

AbstractLet Mn+ be the set of entrywise nonnegative n×n matrices. Denote by r(A) the spectral radius...

Numerical ranges of an operator on an indefinite inner product space

Uhlig, F
Li, CK
Tsing, NK

January 1996

For n x n complex matrices A and an n x n Hermitian matrix S, we consider the S-numerical range of A...

Non-linear numerical radius isometries on atomic nest algebras and diagonal algebras

Cui, Jianlian
Hou, Jinchuan

January 2004

AbstractA nonlinear map φ between operator algebras is said to be a numerical radius isometry if w(φ...

Maps preserving the nilpotency of products of operators

Li, Chi-Kwong
Šemrl, Peter
Sze, Nung-Sing

July 2007

AbstractLet B(X) be the algebra of all bounded linear operators on the Banach space X, and let N(X) ...

Multiplicative maps preserving the higher rank numerical ranges and radii

Clark, Sean
Li, Chi-Kwong
Sze, Nung-Sing

June 2010

AbstractLet Mn be the semigroup of n×n complex matrices under the usual multiplication, and let S be...

On the boundary of the numerical range of a matrix

Chien, Mao-Ting
Yeh, Lina

June 2010

AbstractA characterization of real matrices is given for which a diagonal entry of a matrix is a bou...

Linear maps transforming the higher numerical ranges

Li, Chi-Kwong
Poon, Yiu-Tung
Sze, Nung-Sing

May 2005

AbstractLet k∈{1,…,n}. The k-numerical range of A∈Mn is the setWk(A)={(trX*AX)/k:Xisn×k,X*X=Ik},and ...

Matrix polynomials with spectral radius equal to the numerical radius

Wimmer, Harald K.

September 2011

AbstractIn this paper we study a class of matrix polynomials with the property that spectral radius ...

Schur product of matrices and numerical radius (range) preserving maps

Abstract

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Schur product of matrices and numerical radius (range) preserving maps

Abstract

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