Range-Domain Implications for Linear Operators

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Previous article Next article Range-Domain Implications for Linear OperatorsJohann SchröderJohann Schröderhttps://doi.org/10.1137/0119022PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Nelson Dunford and , Jacob T. Schwartz, Linear Operators. I. General Theory, With the assistance of W. G. Bade and R. G. Bartle. Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York, 1958xiv+858 MR0117523 0084.10402 Google Scholar[2] Miroslav Fiedler and , Vlastimil Pták, Some generalizations of positive definiteness and monotonicity, Numer. Math., 9 (1966), 163–172 10.1007/BF02166034 MR0209309 0148.25801 CrossrefISIGoogle Scholar[3] J. L. Kelley and , Isaac Namioka, Linear topological spaces, With the collaboration of W. F. Donoghue, Jr., Kenneth R. Lucas, B. J. Pettis, Ebbe Thue Poulsen, G. Baley Price, Wendy Robertson, W. R. Scott, Kennan T. Smith. The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J., 1963xv+256 MR0166578 0115.09902 CrossrefGoogle Scholar[4] Johann Schröder, Monotonie-Eigenschaften bei Differentialgleichungen, Arch. Rational Mech. Andl., 14 (1963), 38–60 MR0151738 0124.32702 CrossrefISIGoogle Scholar[5] Johann Schröder, Differential inequalities and error boundsError in Digital Computation, Vol. 2 (Proc. Sympos. Math. Res. Center, U.S. Army, Univ. Wisconsin, Madison, Wis., 1965), Wiley, New York, 1965, 141–179 MR0187422 0196.50002 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Evenly Convex Sets: Linear Systems Containing Strict InequalitiesEven Convexity and Optimization | 28 October 2020 Cross Ref On faces and W-irreducible operators in finite-dimensional linear spacesLinear Algebra and its Applications, Vol. 33 | 1 Oct 1980 Cross Ref Punktweise Abschätzungen zur Ermittlung des Einflusses von Störtermen bei VerzweigungsproblemenZeitschrift für angewandte Mathematik und Physik ZAMP, Vol. 31, No. 2 | 1 Mar 1980 Cross Ref ReferencesOperator Inequalities | 1 Jan 1980 Cross Ref Einschliessungsaussagen f�r Differentialoperatoren vierter Ordnung und ein Verfahren zur Berechnung von SchrankenfunktionenManuscripta Mathematica, Vol. 26, No. 3 | 1 Sep 1978 Cross Ref M-Matrices and Generalizations Using an Operator Theory ApproachJohann SchröderSIAM Review, Vol. 20, No. 2 | 10 July 2006AbstractPDF (3570 KB)Einschlie�ungsaussagen bei Differentialoperatoren zweiter Ordnung durch punktweise UngleichungenNumerische Mathematik, Vol. 30, No. 1 | 1 Mar 1978 Cross Ref Inclusion statements for operator equations by a continuity principleManuscripta Mathematica, Vol. 21, No. 2 | 1 Jun 1977 Cross Ref Einschlie�ungsaussagen f�r gew�hnliche DifferentialoperatorenNumerische Mathematik, Vol. 25, No. 2 | 1 Jun 1976 Cross Ref Pointwise lower and upper bounds for eigenfunctions of ordinary differential operatorsNumerische Mathematik, Vol. 27, No. 1 | 1 Mar 1976 Cross Ref Generalizations of matrix monotonicityLinear Algebra and its Applications, Vol. 13, No. 1-2 | 1 Jan 1976 Cross Ref Range-domain implications for concave operatorsJournal of Mathematical Analysis and Applications, Vol. 33, No. 1 | 1 Jan 1971 Cross Ref Volume 19, Issue 1| 1970SIAM Journal on Applied Mathematics1-265 History Submitted:18 August 1969Published online:12 July 2006 InformationCopyright © 1970 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0119022Article page range:pp. 235-242ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics