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Some Norm Inequalities for Operators
Canadian Mathematical Bulletin, 1999AbstractLet Ai , Bi and Xi (i = 1, 2,…,n) be operators on a separable Hilbert space. It is shown that if f and g are nonnegative continuous functions on [0, ∞) which satisfy the relation f(t)g(t) = t for all t in [0, ∞), thenfor every r > 0 and for every unitarily invariant norm. This result improves some known Cauchy-Schwarz type inequalities. Norm
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Norms of Complex Harmonic Projection Operators
Canadian Journal of Mathematics, 2003AbstractIn this paper we estimate the (Lp – L2)-norm of the complex harmonic projectors πℓ,ℓ′, 1 ≤ p ≤ 2, uniformly with respect to the indexes ℓ, ℓ′. We provide sharp estimates both for the projectors πℓ,ℓ′, when ℓ, ℓ′ belong to a proper angular sector in ℕ × ℕ, and for the projectors πℓ0 and π0ℓ.
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On the norm attainment set of a bounded linear operator
Journal of Mathematical Analysis and Applications, 2018Debmalya Sain
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On the norm of an integral operator and applications
Journal of Mathematical Analysis and Applications, 2006Bicheng Yang
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On the Norm Attainment Set of a Bounded Linear Operator and Semi-Inner-Products in Normed Spaces
Indian Journal of Pure and Applied Mathematics, 2020Debmalya Sain
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On the norm of a Hilbert's type linear operator and applications
Journal of Mathematical Analysis and Applications, 2007Bicheng Yang
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Norm inequalities for accretive–dissipative operator matrices
Journal of Mathematical Analysis and Applications, 2013Minghua Lin
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