A Complementary Triangle Inequality in Hilbert and Banach Spaces

DOI10.2307/2035067zbMath0173.41202OpenAlexW4238972660MaRDI QIDQ5561400

Frederic T. Metcalf, Joaquin B. Diaz

Publication date: 1966

Full work available at URL: https://doi.org/10.2307/2035067

zbMATH Keywords

functional analysis

Related Items (14)

Volterra integral equations on variable exponent Lebesgue spaces ⋮ Quadratic reverses of the triangle inequality for Bochner integral in Hilbert spaces ⋮ On a generalization of a complementary triangle inequality in Hilbert spaces and Banach spaces ⋮ On sharp triangle inequalities in Banach spaces ⋮ Reverses of the continuous triangle inequality for Bochner integral in complex Hilbert spaces ⋮ On the sum of contractive type of mappings II: Maps on different classes ⋮ On the Sum of Contractive Type of Mappings I: Maps on the Same Class ⋮ Observability for Schrödinger equations with quadratic Hamiltonians ⋮ Unnamed Item ⋮ Improved estimates for the triangle inequality ⋮ Some inequalities in inner product spaces related to the generalized triangle inequality ⋮ Some reverses of the generalised triangle inequality in complex inner product spaces ⋮ On sharp triangle inequalities in Banach spaces. II. ⋮ Bounds for permanents, determinants, and Schur functions

Cites Work

• Unnamed Item
• Complementary inequalities. I: Inequalities complementary to Cauchy's inequality for sums of real numbers. II: Inequalities complementary to the Buniakowsky-Schwarz inequality for integrals. III: Inequalities complementary to Schwarz's inequality in Hilbert space
• Some Applications of the Inequality of Arithmetic and Geometric Means to Polynomial Equations

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