in this paper, we consider the boundedness of the libera operator on dirichlet spaces in terms of the schur test. moreover, we get its point spectrum and norm.

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 ...

In this paper‎, ‎using the discrete Fourier transform in the finite-dimensional Hilbert space C^n‎, ‎a class of nonRieszable equal norm tight frames is introduced ‎and‎ using this class, a bound for Fiechtinger Conjecture is presented. By the Fiechtinger Conjecture that has been proved recently, for given A,C>0 there exists a universal constant delta>0 independent of $n$ such that every C-equal...

In this work, we evaluate quantum coherence using the $$l_{1}$$ -norm and convex-roof obtain several new results. First, provide some general triangle-like inequalities of coherence, with results better than existing ones. Second, for special three-dimensional states, a method calculating is presented. Lastly, offer distinct upper bounds in measure based on state itself.

Color image denoising is frequently encountered in various processing and computer vision tasks. One traditional strategy to convert the RGB a less correlated color space denoise each channel of new separately. However, such can not fully exploit information between channels inadequate obtain satisfactory results. To address this issue, paper proposes multi-channel optimization model for under ...

We propose a new estimator of the regression coefficients for high-dimensional linear model, which is derived by replacing sample predictor covariance matrix in ordinary least square (OLS) with different estimate obtained nuclear norm plus l 1 penalization. call ALgebraic Covariance Estimator-regression (ALCE-reg). make direct theoretical comparison expected mean error ALCE-reg OLS and RIDGE. s...