A note on causality in reflexive Banach spaces

Research output: Contribution to journalConference Contribution

Abstract

In this short note we discuss the causality of linear closable operators in reflexive Banach spaces. We show that in general causality is not preserved under closure procedures. We shall give an alternative definition of causality for closable operators by means of a certain continuity poperty that carries over to the closure.

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Reflexive Banach Space
Causality
Closure
Linear Operator
Alternatives
Operator

Keywords

  • causality
  • Branch spaces
  • linear closable operators

Cite this

@article{8549a78e379a4889a0ca4989fc752200,
title = "A note on causality in reflexive Banach spaces",
abstract = "In this short note we discuss the causality of linear closable operators in reflexive Banach spaces. We show that in general causality is not preserved under closure procedures. We shall give an alternative definition of causality for closable operators by means of a certain continuity poperty that carries over to the closure.",
keywords = "causality, Branch spaces, linear closable operators",
author = "Marcus Waurick",
year = "2014",
month = "12",
day = "22",
doi = "10.1002/pamm.201410474",
language = "English",
volume = "14",
pages = "987--988",
journal = "Proceedings in Applied Mathematics and Mechanics, PAMM",
issn = "1617-7061",
number = "1",

}

A note on causality in reflexive Banach spaces. / Waurick, Marcus.

In: Proceedings in Applied Mathematics and Mechanics, PAMM, Vol. 14, No. 1, 22.12.2014, p. 987-988.

Research output: Contribution to journalConference Contribution

TY - JOUR

T1 - A note on causality in reflexive Banach spaces

AU - Waurick, Marcus

PY - 2014/12/22

Y1 - 2014/12/22

N2 - In this short note we discuss the causality of linear closable operators in reflexive Banach spaces. We show that in general causality is not preserved under closure procedures. We shall give an alternative definition of causality for closable operators by means of a certain continuity poperty that carries over to the closure.

AB - In this short note we discuss the causality of linear closable operators in reflexive Banach spaces. We show that in general causality is not preserved under closure procedures. We shall give an alternative definition of causality for closable operators by means of a certain continuity poperty that carries over to the closure.

KW - causality

KW - Branch spaces

KW - linear closable operators

UR - http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1617-7061

U2 - 10.1002/pamm.201410474

DO - 10.1002/pamm.201410474

M3 - Conference Contribution

VL - 14

SP - 987

EP - 988

JO - Proceedings in Applied Mathematics and Mechanics, PAMM

T2 - Proceedings in Applied Mathematics and Mechanics, PAMM

JF - Proceedings in Applied Mathematics and Mechanics, PAMM

SN - 1617-7061

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