location:  Publications → journals
Search results

Search: All articles in the CMB digital archive with keyword invariant subspaces

 Expand all        Collapse all Results 1 - 2 of 2

1. CMB 2008 (vol 51 pp. 604)

{\'S}liwa, Wies{\l}aw
 The Invariant Subspace Problem for Non-Archimedean Banach Spaces It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits a linear continuous operator without a non-trivial closed invariant subspace. This solves a problem stated by A.~C.~M. van Rooij and W.~H. Schikhof in 1992. Keywords:invariant subspaces, non-archimedean Banach spacesCategories:47S10, 46S10, 47A15

2. CMB 2004 (vol 47 pp. 100)

Seto, Michio
 Invariant Subspaces on \$\mathbb{T}^N\$ and \$\mathbb{R}^N\$ Let \$N\$ be an integer which is larger than one. In this paper we study invariant subspaces of \$L^2 (\mathbb{T}^N)\$ under the double commuting condition. A main result is an \$N\$-dimensional version of the theorem proved by Mandrekar and Nakazi. As an application of this result, we have an \$N\$-dimensional version of Lax's theorem. Keywords:invariant subspacesCategories:47A15, 47B47