Results 21 to 30 of about 193,463 (332)
Advances in Difference Equations, 2020 In this paper, we show that the invariant subspace method can be successfully utilized to get exact solutions for nonlinear fractional partial differential equations with generalized fractional derivatives. Using the invariant subspace method, some exact
Mohamed S. Abdel Latif +2 more
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Invariant Lagrangian subspaces [PDF]
Proceedings of the American Mathematical Society, 1988 It is proved that on Hilbert spaces with strong symplectic form, every symplectic operatorI+CI + CwithCCcompact has an invariant Lagrangian subspace.
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Yang-Mills theory and the Segal-Bargmann transform [PDF]
, 1998 We use a variant of the classical Segal-Bargmann transform to understand the canonical quantization of Yang-Mills theory on a space-time cylinder. This transform gives a rigorous way to make sense of the Hamiltonian on the gauge-invariant subspace.
Driver, Bruce K., Hall, Brian C.
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Uniformly invariant normed spaces
Bibechana, 2013 In this work, we introduce the concepts of compactly invariant and uniformly invariant. Also we define sometimes C-invariant closed subspaces and then prove every m-dimensional normed space with m > 1 has a nontrivial sometimes C-invariant closed ...
AM Forouzanfar +2 more
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A complete set of Lorentz-invariant wave packets and modified uncertainty relation
European Physical Journal C: Particles and Fields, 2021 We define a set of fully Lorentz-invariant wave packets and show that it spans the corresponding one-particle Hilbert subspace, and hence the whole Fock space as well, with a manifestly Lorentz-invariant completeness relation (resolution of identity ...
Kin-ya Oda, Juntaro Wada
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A new proof of a Nordgren, Rosenthal and Wintrobe Theorem on universal operators [PDF]
, 2017 A striking result by Nordgren, Rosenthal and Wintrobe states that the Invariant Subspace Problem is equivalent to the fact that any minimal invariant subspace for a composition operator Cφ induced by a hyperbolic automorphism φ of the unit disc D acting ...
Cowen, Carl C. +1 more
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Invariant Subspaces, Quasi-invariant Subspaces, and Hankel Operators
Journal of Functional Analysis, 2001 The authors study algebraic properties of small Hankel operators on Bergman spaces of bounded symmetric domains \(\Omega\subset \mathbb{C}^n\). Here, the Bergman space \(L^2_a(\Omega)\) is the closed subspace of \(L^2(\Omega)\) consisting of analytic functions and the small Hankel operator \(\Gamma_\varphi\) with symbol \(\varphi\in L^2(\Omega)\) is ...
Guo, Kunyu, Zheng, Dechao
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Reconstruction in time-warped weighted shift-invariant spaces with application to spline subspaces
International Journal of Mathematics and Mathematical Sciences, 2003 We discuss the reproducing kernel structure in shift-invariant spaces and the weighted shift-invariant spaces, and obtain the reconstruction formula in time-warped weighted shift-invariant spaces, then apply them to a spline subspace.
Jun Xian, Yongjin Li
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An invariant subspace problem for multilinear operators on Banach spaces and algebras
Journal of Inequalities and Applications, 2016 This paper is concerned with the study of invariant subspace problems for nonlinear operators on Banach spaces/algebras. Our study reveals that one faces unprecedented challenges such as lack of vector space structure and unbounded spectral sets when ...
John Emenyu
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Isometries of ∗ -Invariant Subspaces [PDF]
Transactions of the American Mathematical Society, 1974 We consider families of increasing ∗ ^\ast -invariant subspaces of H 2 ( D ) {H^2}(D) , and from these we construct canonical isometrics from certain L 2 {L^2} spaces to
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