0000000000774810

AUTHOR

Bogdan C. Grecu

showing 3 related works from this author

Infinite Dimensional Banach spaces of functions with nonlinear properties

2010

The aim of this paper is to show that there exist infinite dimensional Banach spaces of functions that, except for 0, satisfy properties that apparently should be destroyed by the linear combination of two of them. Three of these spaces are: a Banach space of differentiable functions on R(n) failing the Denjoy-Clarkson property; a Banach space of non Riemann integrable bounded functions, but with antiderivative at each point of an interval; a Banach space of infinitely differentiable functions that vanish at infinity and are not the Fourier transform of any Lebesgue integrable function.

Inverse function theoremMathematics::Functional AnalysisMathematics(all)Approximation propertyGeneral MathematicsMathematical analysisInfinite-dimensional vector functionEberlein–Šmulian theoremBanach manifold/dk/atira/pure/subjectarea/asjc/2600Interpolation spaceLp spaceC0-semigroupMathematics
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Two-dimensional Banach spaces with polynomial numerical index zero

2009

We study two-dimensional Banach spaces with polynomial numerical indices equal to zero.

/dk/atira/pure/subjectarea/asjc/2600/2608/dk/atira/pure/subjectarea/asjc/2600/2607Eberlein–Šmulian theoremBanach manifoldFinite-rank operatorPolynomialMatrix polynomialFOS: MathematicsDiscrete Mathematics and Combinatorics/dk/atira/pure/subjectarea/asjc/2600/2602C0-semigroupLp spaceMathematicsMathematics::Functional AnalysisNumerical AnalysisBanach spaceAlgebra and Number TheoryMathematical analysisFunctional Analysis (math.FA)Mathematics - Functional Analysis46B04 (Primary) 46B20 46G25 47A12 (Secondary)Polynomial numerical indexInterpolation space/dk/atira/pure/subjectarea/asjc/2600/2612Geometry and TopologyNumerical rangeMonic polynomialLinear Algebra and its Applications
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Polynomial numerical indices of 𝐶(𝐾) and 𝐿₁(𝜇)

2013

We estimate the polynomial numerical indices of the spaces C ( K ) C(K) and L 1 ( μ ) L_1(\mu ) .

Reciprocal polynomialAlternating polynomialStable polynomialMinimal polynomial (linear algebra)Applied MathematicsGeneral MathematicsApplied mathematicsMonic polynomialWilkinson's polynomialMathematicsCharacteristic polynomialMatrix polynomialProceedings of the American Mathematical Society
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