ON PAIRS OF <i>l</i>-KOTHE SPACES

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2010

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Hacettepe Univ, Fac Sci

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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Let l be a Banach sequence space with a monotone norm parallel to . parallel to e, in which the canonical system (e(i)) is a normalized unconditional basis. Let a = (a(i)), a(i) -> infinity, lambda = (lambda(i)) be sequences of positive numbers. We study the problem on isomorphic classification of pairs F = (K-l ( exp ( -1/pa(i))), K-l( exp ( -1/pa(i) ))) For this purpose, we consider the sequence of so-called m-rectangle characteristics mu(F)(m). It is shown that the system of all these characteristics is a complete quasidiagonal invariant on the class of pairs of finite-type. l-power series spaces. By using analytic scale and a modification of some invariants (modified compound invariants) it is proven that m-rectangular characteristics are invariant on the class of such pairs. Deriving the characteristic (beta) over tilde from the characteristic beta, and using the interpolation method of analytic scale, we are able to generalize some results of Chalov, Dragilev, and Zahariuta (Pair of finite type power series spaces, Note di Mathematica 17, 121-142, 1997).

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m-rectangular characteristic, Power l-Kothe spaces, Linear topological invariants

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Volume

39

Issue

3

Start Page

337

End Page

349

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https://hdl.handle.net/20.500.14411/8572

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