Strictly singular operators and isomorphisms of Cartesian products of power series spaces

Djakov, PB
Onal, S
Terzioglu, T
Yurdakul, Murat Hayrettin
V. P. Zahariuta, in 1973, used the theory of Fredholm operators to develop a method to classify Cartesian products of locally convex spaces. In this work we modify his method to study the isomorphic classification of Cartesian products of the kind E-0(p)(a) x E-infinity(q) (b) where 1 less than or equal to p, q < infinity, p not equal q, a = (a(n))(n=1)(infinity) and b = (b(n))(n=1)(infinity) are sequences of positive numbers and E-0(p)(a), E(infinity)q(b) are respectively l(p)-finite and l(q)-infinite type power series spaces.


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Legendrian realization in convex Lefschetz fibrations and convex stabilizations
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We show that, up to a Liouville homotopy and a deformation of compact convex Lefschetz fibrations on W, any Lagrangian submanifold with trivial first de Rham cohomology group, embedded on a (symplectic) page of the (induced) convex open book on partial derivative W, can be assumed to be Legendrian in partial derivative W with the induced contact structure. This can be thought as the extension of Giroux's Legendrian realization (which holds for contact open books) for the case of convex open books. We also s...
Citation Formats
P. Djakov, S. Onal, T. Terzioglu, and M. H. Yurdakul, “Strictly singular operators and isomorphisms of Cartesian products of power series spaces,” ARCHIV DER MATHEMATIK, pp. 57–65, 1998, Accessed: 00, 2020. [Online]. Available: