Results 41 to 50 of about 2,636,208 (102)
Schatten p-norm inequalities related to a characterization of inner product spaces
, 2008 Let $A_1, ... A_n$ be operators acting on a separable complex Hilbert space such that $\sum_{i=1}^n A_i=0$. It is shown that if $A_1, ... A_n$ belong to a Schatten $p$-class, for some $p>0$, then 2^{p/2}n^{p-1} \sum_{i=1}^n \|A_i\|^p_p \leq \sum_{i,j=1 ...
Hirzallah, O. +2 more
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On the proximinality of compact operators with range in $C(S)$
, 1978 It is proved that the space of compact operators on X into C(S) is proximinal in the corresponding space of bounded operators, if X is a Hilbert space, a space IP, 1 0 there exists an a0 such that |*(||Xas + Y11) *(Ilxaxll) *(IIYID)I a0. DEFINITION 2.
J. Mach
semanticscholar +1 more source
Dysbiosis-Induced Secondary Bile Acid Deficiency Promotes Intestinal Inflammation.
Cell Host and Microbe, 2020 Secondary bile acids (SBAs) are derived from primary bile acids (PBAs) in a process reliant on biosynthetic capabilities possessed by few microbes. To evaluate the role of BAs in intestinal inflammation, we performed metabolomic, microbiome, metagenomic,
S. Sinha +14 more
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Positivity of Partitioned Hermitian Matrices with Unitarily Invariant Norms
, 2014 We give a short proof of a recent result of Drury on the positivity of a $3\times 3$ matrix of the form $(\|R_i^*R_j\|_{\rm tr})_{1 \le i, j \le 3}$ for any rectangular complex (or real) matrices $R_1, R_2, R_3$ so that the multiplication $R_i^*R_j$ is ...
Li, Chi-Kwong, Zhang, Fuzhen
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Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality [PDF]
, 2009 In this paper we obtain some operator inequalities for functions defined by power series with real coefficients and, more specifically, with non- negative coefficients.
Dragomir, Sever S
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Analytic domination by fractional powers with linear estimates
, 1975 Conditions are given which imply the analytic domination of one operator by fractional powers of a positive selfadjoint operator. The conditions involve only linear estimates rather than the usual quadratic estimates.
A. Sloan
semanticscholar +1 more source
Generalized D-Symmetric Operators I [PDF]
, 2008 2000 Mathematics Subject Classification: Primary: 47B47, 47B10; secondary 47A30.Let H be an infinite-dimensional complex Hilbert space and let A, B ∈ L(H), where L(H) is the algebra of operators on H into itself.
Bouali, S., Ech-chad, M.
core
Estimates for an integral in Lp norm of the (n+1)-th derivative of its integrand [PDF]
, 2000 Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n + 1)-th derivative of its integrand, and the Iyengar’s inequality and many other useful inequalities are ...
Guo, Bai-Ni, Qi, Feng
core
Some reverse $l_p$-type inequalities involving certain quasi monotone sequences
, 2015 In this paper, we give some $l_p$-type inequalities about sequences satisfying certain quasi monotone type properties. As special cases, reverse $l_p$-type inequalities for non-negative decreasing sequences are obtained.
Berisha, Faton M. +3 more
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A Gr\"uss type operator inequality [PDF]
, 2016 In [P. Renaud, "A matrix formulation of Gr\"uss inequality", Linear Algebra Appl. 335 (2001), 95--100] it was proved an operator inequality involving the usual trace functional.
Bottazzi, Tamara, Conde, Cristian
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