Small ideals of operators

DOI10.4064/sm-51-3-265-267zbMath0294.47019OpenAlexW1017498401MaRDI QIDQ4046637

Albrecht Pietsch

Publication date: 1974

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/217918

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear spaces of operators (47L05) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (30)

On the nonlinearity of extended \(s\)-type weighted Nakano sequence spaces of fuzzy functions with some applications ⋮ The spectrum of mapping ideals of type variable exponent function space of complex variables with some applications ⋮ Unnamed Item ⋮ Fixed point property of variable exponent Cesàro complex function space of formal power series under premodular ⋮ A note on Nakano generalized difference sequence space ⋮ On the domain of generalized mean in Nakano sequence space, and its prequasi ideal with some applications ⋮ Kannan nonexpansive mappings on Nakano sequence space of soft reals with some applications ⋮ Kannan nonexpansive operators on variable exponent Cesàro sequence space of fuzzy functions ⋮ Kannan nonexpansive mappings on variable exponent function space of complex variables with some applications ⋮ Some properties of prequasi normed generalized de La Vallée Poussin's mean sequence space ⋮ Pre-quasi simple Banach operator ideal generated by \(s\)-numbers ⋮ Some properties of pre-quasi operator ideal of type generalized Cesáro sequence space defined by weighted means ⋮ Eigenvalues of s-type operators on prequasi normed \(C(t,p)\) ⋮ Rate of decay of \(s\)-numbers ⋮ Unnamed Item ⋮ On operator ideals using weighted Cesàro sequence space ⋮ Multiplication operators on weighted Nakano (sss) ⋮ Orlicz generalized difference sequence space and the linked pre-quasi operator ideal ⋮ Map ideal of type the domain of \(r\)-Cesàro matrix in the variable exponent \(\ell_{t(.)}\) and its eigenvalue distributions ⋮ Kannan contraction operator on the domain of \(r(.)\)-Cesàro matrix in \(\ell_{t(.)}\) and related prequasi ideal with an application of nonlinear difference equations ⋮ Kannan prequasi contraction maps on Nakano sequence spaces ⋮ Some fixed point results of Kannan maps on the Nakano sequence space ⋮ A generalization of Caristi's fixed point theorem in the variable exponent weighted formal power series space ⋮ Some applications of new complex function space constructed by different weights and exponents ⋮ The spectrum generated by \(s\)-numbers and pre-quasi normed Orlicz-Cesàro mean sequence spaces ⋮ Small operator ideals formed by \(s\) numbers on generalized Cesàro and Orlicz sequence spaces ⋮ Some properties of pre-quasi norm on Orlicz sequence space ⋮ Eigenvalues of \(s\)-type operators on \(C(p)\) equipped with a pre-quasi norm ⋮ \((r_1,r_2)\)-Cesàro summable sequence space of non-absolute type and the involved pre-quasi ideal ⋮ Solutions of nonlinear difference equations in the domain of \((\zeta_n)\)-Cesàro matrix in \(\ell_{t(\cdot)}\) of nonabsolute type, and its pre-quasi ideal

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