[PDF] Top 20 Reverse of the Triangle Inequality in Hilbert C*-Modules
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Reverse of the Triangle Inequality in Hilbert C*-Modules
... the reverse of triangle inequality via a extension of Selberg’s inequality in the framework of Hilbert C ∗ ...of Hilbert C ∗ ... See full document
10
Reverses of the Triangle Inequality in Banach Spaces
... The aim of the following sections is to present recent reverses of the triangle inequality obtained by the author in [5] and [6]. New results are established for the general case of normed spaces. Their ... See full document
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A Survey of Recent Reverses for the Generalised Triangle Inequality in Normed Spaces
... We can apply Theorem 5 to state the following reverse of the gener- alised triangle inequality for complex numbers [7].. Proposition 4..[r] ... See full document
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A Reverse of the Triangle Inequality in Inner Product Spaces and Applications for Polynomials
... A reverse of the triangle inequality in inner product spaces re- lated to the celebrated Diaz-Metcalf inequality with applications for complex polynomials is given1. Diaz and F.T.[r] ... See full document
8
More on reverse triangle inequality in inner product spaces
... Using several ideas and following the terminology of [4, 5], we modify or refine some results of Dragomir and ours [1] and get some new reverses of triangle inequality. Among several results, we show that ... See full document
11
Reverse Triangle Inequality for Hilbert C*-Modules
... in Hilbert spaces to the framework of Hilbert C ∗ ...of Hilbert modules. We also use the elementary C ∗ -algebra theory, in particular we utilize this property that if a ≤ b then ... See full document
11
A Survey of Recent Reverses for the Generalised Triangle Inequality in Inner Product Spaces
... [1] J.B. DIAZ and F.T. METCALF, A complementary triangle inequality in Hilbert and Banach spaces, Proceedings Amer. Math. Soc., 17(1) (1966), 88-97. [2] S.S. DRAGOMIR, Advances in inequalities of the ... See full document
41
On Sharp Triangle Inequalities in Banach Spaces II
... Moreover we consider equality attainedness for sharp triangle inequality and its reverse inequality in strictly convex Banach spaces.. Namely, we characterize equality attainedness of In[r] ... See full document
17
Improved estimates for the triangle inequality
... a reverse of the triangle inequality in the particular case of spaces with inner ...the triangle inequality were obtained by Dragomir in ...the triangle inequality using ... See full document
12
On the metric triangle inequality
... Now, we see that the region H (x, y) which reverses the triangle inequality is the interior of the circle having the diameter [x, y] represented by the segment AB. In the set H (x, y) we can consider the ... See full document
6
Variational inequalities on Hilbert $C^*$-modules
... satisfied for A-valued norms if and only if hE, Ei is commutative, where hE, Ei = clspan{hx, yi|x, y ∈ E} (see [6]). A-valued norm is very important because of its applications also it may motivate us to study the ... See full document
11
A new more accurate half discrete Hilbert type inequality
... By using the way of weight functions and the idea of introducing parameters and by means of Hadamard’s inequality, we give a more accurate half-discrete Hilbert-type inequality with a best constant ... See full document
13
A more accurate half discrete reverse Hilbert type inequality with a non homogeneous kernel
... Some other results about integral and discrete Hilbert-type inequalities can be found in [–]. On half-discrete Hilbert-type inequalities with the general non-homogeneous kernels, Hardy et al. provided a ... See full document
13
Trace inequalities of Shisha-Mond type for operators in Hilbert spaces
... Dragomir, Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces.. Fink, A treatise on Grüss’ inequality, Analytic and Geometric Inequal[r] ... See full document
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A Grüss type inequality for vector valued functions in Hilbert C∗ modules
... (c) Suppose that μ() < ∞ and f is a Bochner integrable function and positive, i.e., f (t) ≥ for all t ∈ . Since f is Bochner integrable, f (t) dμ(t) < ∞ by Theorem in [, Chapter II, Section ]. Using ... See full document
10
A more accurate reverse half discrete Hilbert type inequality
... half-discrete Hilbert-type inequalities has gradually be- come in ...half-discrete Hilbert-type inequalities with the non-homogeneous kernel, which were published early ...half-discrete Hilbert-type ... See full document
12
A Reverse Hardy Hilbert Type Inequality
... By estimating the weight coefficient, a reverse Hardy-Hilbert-type inequality is proved. As applications, some equivalent forms and a number of particular cases are obtained. Copyright © 2007 Gaowen ... See full document
7
A Hilbert's Inequality with a Best Constant Factor
... Xie, “A new reverse Hilbert-type inequality with a best constant factor,” Journal of Mathematical Analysis and Applications, vol.. Yang, “On an extended Hardy-Hilbert’s inequality and so[r] ... See full document
8
Controlled ∗-G-Frames and ∗-G-Multipliers in Hilbert Pro-C∗-Modules
... Locally C*-algebras, ...On Hilbert- modules over locally ...Joita, Hilbert modules over locally C*-algebras, University of Bucharest Press, (2006), ...in Hilbert ... See full document
13
The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules
... to Hilbert C ∗ -modules, under the condition that ran(S) is contained in ...the Hilbert space ...between Hilbert C ∗ -modules, when T, S have closed ranges and S is a self ... See full document
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