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Showing 1-20 of 78 results
  1. Quasiaffine transforms of Hilbert space operators

    Ampliation quasisimilarity was applied as a tool in Foias and Pearcy (J Funct Anal 219:134–142, 2005) to reduce the hyperinvariant subspace problem...

    Maria F. Gamal’, László Kérchy in Acta Scientiarum Mathematicarum
    Article 01 March 2023
  2. On power bounded operators with holomorphic eigenvectors. II

    In [U] (among other results), M. Uchiyama gave necessary and sufficient conditions for contractions to be similar to the unilateral shift S of...

    Maria F. Gamal’ in Acta Scientiarum Mathematicarum
    Article 01 December 2020
  3. Artificial neural networks with uniform norm-based loss functions

    We explore the potential for using a nonsmooth loss function based on the max-norm in the training of an artificial neural network without hidden...

    Vinesha Peiris, Vera Roshchina, Nadezda Sukhorukova in Advances in Computational Mathematics
    Article Open access 23 April 2024
  4. Quasiconvexity, Null Lagrangians, and Hardy Space Integrability Under Constant Rank Constraints

    We present a systematic treatment of the theory of Compensated Compactness under Murat’s constant rank assumption. We give a short proof of a sharp...

    André Guerra, Bogdan Raiță in Archive for Rational Mechanics and Analysis
    Article Open access 13 May 2022
  5. WHEN IS THE AUTOMORPHISM GROUP OF AN AFFINE VARIETY NESTED?

    For an affine algebraic variety X , we study the subgroup Aut alg ( X ) of the group of regular automorphisms Aut( X ) of X generated by all the connected...

    ALEXANDER PEREPECHKO, ANDRIY REGETA in Transformation Groups
    Article 17 March 2022
  6. Pluquasisimilar Hilbert space operators

    In [BJKP] the concept of pluquasisimilarity was introduced, which is a relation between two operators, implemented by systems of intertwining...

    László Kérchy in Acta Scientiarum Mathematicarum
    Article 01 December 2020
  7. Crystal complex symmetric operators

    Eungil Ko, Ji Eun Lee, Mee-Jung Lee in Banach Journal of Mathematical Analysis
    Article 30 June 2020
  8. Introductory Results

    This chapter summarizes the essential background required for the rest of the book. Its purpose is notation, terminology, and basics. As for basics,...
    Chapter 2020
  9. Orbit Closures of the Witt Group Actions

    We prove that for any prime p there exists an algebraic action of the two-dimensional Witt group W 2 ( p ) on an algebraic variety X such that the...

    Article 01 November 2019
  10. FACTORIAL AFFINE Gα-VARIETIES ISOMORPHIC TO HYPERSURFACES OF DANIELEWSKI TYPE

    Let k be an algebraically closed field of characteristic zero and B a factorial affine k -domain equipped with a locally nilpotent derivation δ . We...

    KAYO MASUDA in Transformation Groups
    Article 18 November 2020
  11. On power bounded operators with holomorphic eigenvectors

    In [17], M. Uchiyama gave necessary and sufficient conditions for contractions to be quasiaffine transforms, quasisimilar, or similar to unilateral...

    Maria F. Gamaľ in Acta Scientiarum Mathematicarum
    Article 01 December 2016
  12. A Data-Driven Approach to Viscous Fluid Mechanics: The Stationary Case

    We introduce a data-driven approach to the modelling and analysis of viscous fluid mechanics. Instead of including constitutive laws for the fluid’s...

    Christina Lienstromberg, Stefan Schiffer, Richard Schubert in Archive for Rational Mechanics and Analysis
    Article Open access 01 April 2023
  13. Pell surfaces

    In 1826 Abel started the study of the polynomial Pell equation x 2 g ( u ) y 2 = 1. Its solvability in polynomials x ( u ), y ( u ) depends on a certain...

    Article 16 December 2019
  14. The local fundamental group of a Kawamata log terminal singularity is finite

    We prove a conjecture of Kollár stating that the local fundamental group of a klt singularity x is finite. In fact, we prove a stronger statement,...

    Lukas Braun in Inventiones mathematicae
    Article Open access 09 August 2021
  15. A G2-period of a Fourier coefficient of an Eisenstein series on E6

    We calculate a G 2 -period of a Fourier coefficient of a cuspidal Eisenstein series on the split simply-connected group E 6 , and relate this period to...

    Aaron Pollack, Chen Wan, Michał Zydor in Israel Journal of Mathematics
    Article 19 August 2019
  16. Quasiprojective varieties over algebraically closed fields

    In this chapter we give a quick introduction to algebraic varieties, focusing mainly on the properties used in parts 2 and 3. Appendix...
    Pinaki Mondal in How Many Zeroes?
    Chapter 2021
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