Annali di Matematica Pura ed Applicata

, Volume 138, Issue 1, pp 379–397 | Cite as

Some applications of the adjoint to lattice regular measures

  • George Bachman
  • Panagiotis D. Stratigos


In this paper, the principal role is played by the adjoint of a certain bounded linear mapping, whose domain and range are Banach spaces of lattice regular measures. First, the general properties of the adjoint are investigated and it is shown, in particular, how this mapping yields generalizations of many results in Stone-Čech Theory, especially matters related to embeddibility. Then, the investigation continues with the mapping properties of the adjoint, and a variety of applications is given to Topological Measure Theory, strong measure repleteness, tightness, and relative compactness.


Banach Space Linear Mapping Relative Compactness General Property Measure Theory 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1978

Authors and Affiliations

  • George Bachman
  • Panagiotis D. Stratigos

There are no affiliations available

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