ℱ-singular and G-cosingular operators
Joe Howard (1970)
Colloquium Mathematicae
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Joe Howard (1970)
Colloquium Mathematicae
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Olver, Peter J. (1996)
Journal of Lie Theory
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Wang, Jie, Chen, Chen (2000)
International Journal of Mathematics and Mathematical Sciences
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Michael Neumann, Vlastimil Pták (1985)
Studia Mathematica
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C. Read (1999)
Studia Mathematica
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Properties of strictly singular operators have recently become of topical interest because the work of Gowers and Maurey in [GM1] and [GM2] gives (among many other brilliant and surprising results, such as those in [G1] and [G2]) Banach spaces on which every continuous operator is of form λ I + S, where S is strictly singular. So if strictly singular operators had invariant subspaces, such spaces would have the property that all operators on them had invariant subspaces. However, in...
Kevin Clancey, Israel Gohberg (1979)
Mathematische Zeitschrift
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Jesús M. F. Castillo, Marilda Simoes, Jesús Suárez de la Fuente (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
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We exhibit new examples of weakly compact strictly singular operators with dual not strictly cosingular and characterize the weakly compact strictly singular surjections with strictly cosingular adjoint as those having strictly singular bitranspose. We then obtain new examples of super-strictly singular quotient maps and show that the strictly singular quotient maps in Kalton-Peck sequences are not super-strictly singular.
Marc Lesimple, Tullio Valent (2007)
Bollettino dell'Unione Matematica Italiana
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The existence of local families of solutions for perturbation equations is proved when the free operator is covariant under a non linear action of a Lie group.
Zhou, W.S., Cai, S.F. (2006)
Lobachevskii Journal of Mathematics
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Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Masatomo Takahashi (2007)
Colloquium Mathematicae
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A complete solution of an implicit second order ordinary differential equation is defined by an immersive two-parameter family of geometric solutions on the equation hypersurface. We show that a completely integrable equation is either of Clairaut type or of first order type. Moreover, we define a complete singular solution, an immersive one-parameter family of singular solutions on the contact singular set. We give conditions for existence of a complete solution and a complete singular...
Rabtsevich, V.A. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Lin Chen, Lizhong Huang, Fangyan Lu (2015)
Studia Mathematica
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Let X and Y be complex Banach spaces of dimension greater than 2. We show that every 2-local Lie isomorphism ϕ of B(X) onto B(Y) has the form ϕ = φ + τ, where φ is an isomorphism or the negative of an anti-isomorphism of B(X) onto B(Y), and τ is a homogeneous map from B(X) into ℂI vanishing on all finite sums of commutators.
Hernández, I., Peniche, R. (2008)
International Journal of Mathematics and Mathematical Sciences
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Dashan Fan (1994)
Mathematische Zeitschrift
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