Norm equalities and inequalities for operator matrices

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Cartesian decomposition of matrices and some norm inequalities

Let ‎X be an ‎‎n-‎‎‎‎‎‎square complex matrix with the ‎Cartesian decomposition ‎‎X = A + i ‎B‎‎‎‎‎, ‎where ‎‎A ‎and ‎‎B ‎are ‎‎‎n ‎‎times n‎ ‎Hermitian ‎matrices. ‎It ‎is ‎known ‎that ‎‎$Vert X Vert_p^2 ‎leq 2(Vert A Vert_p^2 + Vert B Vert_p^2)‎‎‎$, ‎where ‎‎$‎p ‎‎geq 2‎$‎ ‎and ‎‎$‎‎Vert . Vert_p$ ‎is ‎the ‎Schatten ‎‎‎‎p-norm.‎ ‎‎ ‎‎In this paper‎, this inequality and some of its improvements ...

متن کامل

Further inequalities for operator space numerical radius on 2*2 operator ‎matrices

‎We present some inequalities for operator space numerical radius of $2times 2$ block matrices on the matrix space $mathcal{M}_n(X)$‎, ‎when $X$ is a numerical radius operator space‎. ‎These inequalities contain some upper and lower bounds for operator space numerical radius.

متن کامل

Inequalities and Equalities for the Cartesian Decomposition of Complex Matrices

Let A and B be Hermitian matrices and let C = A+ iB. Inequalities and equalities for the eigenvalues, singular values of the matrices A, B, and C are discussed. Known results on inequalities are surveyed, new results on equality cases are proved, and open problems are mentioned.

متن کامل

Norm Comparison Inequalities for the Composite Operator

The purpose of this paper is to establish the Lipschitz norm and BMO norm inequalities for the composition of the homotopy operator T and the projection operator H applied to differential forms in R, n ≥ 2. The harmonic projection operator H, one of the key operators in the harmonic analysis, plays an important role in the Hodge decomposition theory of differential forms. In the meanwhile, the ...

متن کامل

Spectral inequalities and equalities involving products of matrices

Abstract Let A1, . . . , Ak be n×n matrices. We studied inequalities and equalities involving eigenvalues, diagonal entries, and singular values of A0 = A1 · · ·Ak and those of A1, . . . , Ak. It is shown that the matrices attaining equalities often have special reducible structure. The results are then applied to study normality and reducibility of matrices, extending some results and answerin...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2008

ISSN: 0024-3795

DOI: 10.1016/j.laa.2008.02.004