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

Download

index.pdf

Date

1998-01-02

Author

Djakov, PB
Onal, S
Terzioglu, T
Yurdakul, Murat Hayrettin

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

242
views

0
downloads

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.

Subject Keywords

Mathematics

URI

https://hdl.handle.net/11511/31490

Journal

ARCHIV DER MATHEMATIK

DOI

https://doi.org/10.1007/s000130050165

Collections

Graduate School of Natural and Applied Sciences, Article

Suggestions

OpenMETU
Core

NONCOMMUTATIVE MACKEY THEOREM Dosi, Anar (World Scientific Pub Co Pte Lt, 2011-04-01) In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely the min-bounded sets with respect to any polynormed topology compatible with the given duality. The technique of this paper allows us to obtain an operator space proof of the noncommutative bipolar theorem.
Isomorphism classes of elliptic curves over finite fields of characteristic two Kırlar, Barış Bülent; Akyıldız, Ersan; Department of Mathematics (2005) In this thesis, the work of Menezes on the isomorphism classes of elliptic curves over finite fields of characteristic two is studied. Basic definitions and some facts of the elliptic curves required in this context are reviewed and group structure of elliptic curves are constructed. A fairly detailed investigation is made for the isomorphism classes of elliptic curves due to Menezes and Schoof. This work plays an important role in Elliptic Curve Digital Signature Algorithm. In this context, those isomorphi...
Geometric invariant theory and Einstein-Weyl geometry Kalafat, Mustafa (Elsevier BV, 2011-01-01) In this article, we give a survey of geometric invariant theory for Toric Varieties, and present an application to the Einstein-Weyl geometry. We compute the image of the Minitwistor space of the Honda metrics as a categorical quotient according to the most efficient linearization. The result is the complex weighted projective space CP(1,1,2). We also find and classify all possible quotients. (C) 2011 Published by Elsevier GmbH.
LOCAL OPERATOR ALGEBRAS FRACTIONAL POSITIVITY AND THE QUANTUM MOMENT PROBLEM Dosi, Anar (American Mathematical Society (AMS), 2011-02-01) In the present paper we introduce quantum measures as a concept of quantum functional analysis and develop the fractional space technique in the quantum (or local operator) space framework. We prove that each local operator algebra (or quantum *-algebra) has a fractional space realization. This approach allows us to formulate and prove a noncommutative Albrecht-Vasilescu extension theorem, which in turn solves the quantum moment problem.
Legendrian realization in convex Lefschetz fibrations and convex stabilizations Akbulut, Selman; Arıkan, Mehmet Fırat (Walter de Gruyter GmbH, 2015-05-01) 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: https://hdl.handle.net/11511/31490.