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[PDF] Top 20 Hyperinvariant subspaces for some operators on locally convex spaces

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Hyperinvariant subspaces for some operators on locally convex spaces

Hyperinvariant subspaces for some operators on locally convex spaces

... Hausdorff locally convex space, T ∈ ᏸ (X) a nonscalar and K ∈ ᏷ (X) a nonzero operator, f an analytic function on an open neighborhood ᐁ of the spectrum σ (K) such that KT = T f ...nontrivial ... See full document

8

On the minimal space of surjectivity question for linear transformations on vector spaces with applications to surjectivity of differential operators on locally convex spaces

On the minimal space of surjectivity question for linear transformations on vector spaces with applications to surjectivity of differential operators on locally convex spaces

... While no nonconstant linear partial differential operator maps the field of meromorphic functions onto itself, we construct a locally convex topological vector space of formal power seri[r] ... See full document

20

A Note on Implicit Functions in Locally Convex Spaces

A Note on Implicit Functions in Locally Convex Spaces

... Banach spaces, Λ an open subset of the real line R or of the complex plane C, A an open subset of the product space Λ × X and LX, Y the space of all continuous linear operators from X into Y ... See full document

6

Positive operators and approximation in function spaces on completely regular spaces

Positive operators and approximation in function spaces on completely regular spaces

... have some tools to study positive approximation processes on function spaces defined on possibly nonlocally compact spaces (in the locally compact case the theory is rather rich and complete, ... See full document

31

On the semi inner product in locally convex spaces

On the semi inner product in locally convex spaces

... [9,11 ] and it plays an important role in the theory of accretive operators and dissipative operators, differential equations, linear and nonlinear semigroups in Banach spaces and Banach[r] ... See full document

6

A Note on Some Equivalences of Operators and Topology of Invariant Subspaces

A Note on Some Equivalences of Operators and Topology of Invariant Subspaces

... and hyperinvariant subspace lattices of some ...of hyperinvariant subspaces of an operator in terms of its lattice of invariant ...for operators in certain equivalence classes of ... See full document

11

On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces

On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces

... gives some properties of compact operators between Banach-Koordinat (BK) ...sequence spaces associated with these ...compact operators through a BK space is studied and also characterizes the ... See full document

9

On reducibility of some operator semigroups and algebras on
locally convex spaces

On reducibility of some operator semigroups and algebras on locally convex spaces

... set and by r(T) = sup {| λ | : λ ∈ σ(T) } we denote the spectral radius of T. An operator T is quasinilpotent if σ (T ) = { 0 } . A closed subspace M in X is an invariant subspace of an operator T if T(M) ⊆ M. A ... See full document

11

Some results over thin-thick sets in cone locally convex spaces

Some results over thin-thick sets in cone locally convex spaces

... ear operators from X into Y, which is pointwise bounded on A, is bounded. It is evi- denced in [2] a strong uniform boundedness principle valid on all Banach spaces for the thick sets. As an practice of ... See full document

6

Topological properties and matrix transformations of certain ordered generalized sequence spaces

Topological properties and matrix transformations of certain ordered generalized sequence spaces

... Riesz spaces, order complete, ideal, diagonal property; positive, sequentially order continuous and o-precompact linear operators; locally convex solid Riesz spaces, Riesz seminorms, Leb[r] ... See full document

16

Generalized Quasi Variational Type Inequalities

Generalized Quasi Variational Type Inequalities

... Hemicontinuous Operators on Generalized Bi-Quasi Variational Inequalities in Locally Convex Topological Vector Spaces,” Positivity, ... See full document

8

On locally convex probabilistic normed spaces

On locally convex probabilistic normed spaces

... normed spaces (briefly, PN spaces) were introduced by Šerstnev [] by means of a definition that was closely modeled in the theory of normed ...linear operators, and nonlinear operators on PN ... See full document

13

Multiplication operators on weighted spaces in the non locally convex framework

Multiplication operators on weighted spaces in the non locally convex framework

... KEY WORDS AND PHRASES: Nachbin family of weights, topological vector spaces, vector-valued continuous functions, weighted topology, multiplication operators, locally idempotent topologic[r] ... See full document

5

Multipliers and operators on the tempered
ultradistribution spaces of Roumieu type for the
distributional Hankel type transformation spaces

Multipliers and operators on the tempered ultradistribution spaces of Roumieu type for the distributional Hankel type transformation spaces

... of spaces of rapidly decreasing ultradifferentiable functions of Roumieu type have been defined, which can be considered as subspaces of the Hausd¨orff locally convex topolog- ical linear space ... See full document

7

Some fixed point theorems in locally p-convex spaces

Some fixed point theorems in locally p-convex spaces

... minimal spaces can be listed as follows []: τ , the collection of all semi-open sets SO(X), the collection of all pre-open sets PO(X), the collection of all α-open sets αO(X) and the collection of all β-open sets ... See full document

10

A Survey on Generalized Inner Product Spaces and Strong Topologies

A Survey on Generalized Inner Product Spaces and Strong Topologies

... Hilbert spaces. This concept has been used by Giles [2] to obtain some interesting result in semi – inner product spaces ...presented some results on ... See full document

10

Common fixed point theorems for multimaps in locally convex spaces and some applications

Common fixed point theorems for multimaps in locally convex spaces and some applications

... compact convex subset of ...and convex subset of a Hausdorff locally convex space and let T : X – →  X be an upper semicontinuous multimap such that ... See full document

7

Some results in fixed point theory and application to the convergence of some iterative processes

Some results in fixed point theory and application to the convergence of some iterative processes

... In this paper, we study the existence and uniqueness of fixed points for a class of self-mappings satisfying certain rational expressions on closed, bounded and convex subsets with normal structures in reflexive ... See full document

17

Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces

Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces

... In the case where A is compact and B is nonexpansive, we add an additional assumption on B to guarantee the existence of a fixed point for the sum A B as follows. Theorem 2.19. Let M be a nonempty bounded closed ... See full document

20

Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces

Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces

... 1. T. Ando: Matrix Young inequalities, Oper. Theory Adv. Appl. 75 (1995), 33–38. 2. R. Bellman: Some inequalities for positive definite matrices, in: E. F. Becken- bach (Ed.), General Inequalities 2, Proceedings ... See full document

18

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