Unbounded order-norm continuous and unbounded norm continuous operator | Zendy

Kazem Haghnejad Azar | Zendy; Mina Matin | Zendy; Razi Alavizadeh | Zendy

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Unbounded order-norm continuous and unbounded norm continuous operator

Author(s) -

Kazem Haghnejad Azar,

Mina Matin,

Razi Alavizadeh

Publication year - 2021

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2113417a

Subject(s) - mathematics , operator norm , bounded operator , norm (philosophy) , bounded function , dual norm , compact operator , banach space , pure mathematics , operator (biology) , discrete mathematics , finite rank operator , mathematical analysis , repressor , political science , law , computer science , transcription factor , gene , programming language , extension (predicate logic) , biochemistry , chemistry

A continuous operator T between two normed vector lattices E and F is called unbounded order-norm continuous whenever x? uo? 0 implies ||Tx?|| ? 0, for each norm bounded net (x?)? ? E. Let E and F be two Banach lattices. A continuous operator T : E ? F is called unbounded norm continuous, if for each norm bounded net (x?)? ? E, x? un? 0 implies Tx? un? 0. In this manuscript, we study some properties of these classes of operators and investigate their relationships with the other classes of operators.

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