Advances in the Theory of Fréchet Spaces

Terzioñlu, T.

doi:10.1007/978-94-009-2456-7

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Cited by 3 publications

References 34 publications

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Multirectangular invariants for power Köthe spaces

Chalov

Terzioğlu

Zahariuta

2004

Journal of Mathematical Analysis and Applications

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Using some new linear topological invariants, isomorphisms and quasidiagonal isomorphisms are investigated on the class of first type power . This is the smallest class of Köthe spaces containing all Cartesian and projective tensor products of power series spaces and closed with respect to taking of basic subspaces (closed linear hulls of subsets of the canonical basis). As an application, it is shown that isomorphic spaces from this class have, up to quasidiagonal isomorphisms, the same basic subspaces of finite (infinite) type.  2004 Elsevier Inc. All rights reserved.

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Multirectangular invariants for power Köthe spaces

Chalov

Terzioğlu

Zahariuta

2004

Journal of Mathematical Analysis and Applications

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THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓ^p+ANDL^p−

Albanese¹,

Bonet

Ricker³

2016

Glasgow Math. J.

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The classical spaces ℓp+, 1 ≤ p < ∞, and Lp−, 1<p ≤ ∞, are countably normed, reflexive Fréchet spaces in which the Cesàro operator C acts continuously. A detailed investigation is made of various operator theoretic properties of C (e.g., spectrum, point spectrum, mean ergodicity) as well as certain aspects concerning the dynamics of C (e.g., hypercyclic, supercyclic, chaos). This complements the results of [3, 4], where C was studied in the spaces ℂℕ, Lploc(ℝ+) for 1 < p < ∞ and C(ℝ+), which belong to a very different collection of Fréchet spaces, called quojections; these are automatically Banach spaces whenever they admit a continuous norm.

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Role of power series spaces in the structure theory of nuclear frechet spaces

Terzioğlu¹

2012

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Advances in the Theory of Fréchet Spaces

Cited by 3 publications

References 34 publications

Multirectangular invariants for power Köthe spaces

Multirectangular invariants for power Köthe spaces

THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓ^p+ANDL^p−

Role of power series spaces in the structure theory of nuclear frechet spaces

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Advances in the Theory of Fréchet Spaces

Cited by 3 publications

References 34 publications

Multirectangular invariants for power Köthe spaces

Multirectangular invariants for power Köthe spaces

THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓp+ANDLp−

Role of power series spaces in the structure theory of nuclear frechet spaces

Contact Info

Product

Resources

About

THE CESÀRO OPERATOR IN THE FRÉCHET SPACES ℓ^p+ANDL^p−