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Rice University

On invariant subspaces of a normal operator

Abstract

dc:description.abstract

Our principal interest, in the work that follows, is the discovery of conditions on the spectrum of a normal operator which imply that the operator has invariant non-reducing subspaces. We were led to this study by the work of Halmos, Wermer, and Bram.

Degree

thesis:*
Name thesis:degree_name
Doctor of Philosophy
Level thesis:degree_level
Doctoral
Discipline thesis:degree_discipline
Natural Sciences
Grantor
Rice University
Year dc:date.issued
1957

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Scroggs, James E.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
https://hdl.handle.net/1911/18442
OAI identifier oai:identifier
oai:repository.rice.edu:1911/18442

Chain of custody

source
Harvested from
Rice University
Base URL
repository.rice.edu/server/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
related terms
citation

Scroggs, James E.. On invariant subspaces of a normal operator. Doctoral thesis, Rice University, 1957. https://hdl.handle.net/1911/18442