Counterexamples in Operator Theory

by MORTAD, MOHAMMED HICHEM

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Counterexamples in Operator Theory.

Edition Statements

Publication Date:©2022.

Publication Statements

Publisher(s):Springer International Publishing AG
Place of Publication:Cham
Language:eng
Publication Date:©2022.

Notes

8 Spectrum.

The Physical Object

Description:1 online resource (613 pages)

Edition Identifiers

ISBN:9783030978143, 3030978141
oclc:on1329033657
LC Classification:QA329-329.9
Dewey Decimal:515.724

Intro -- Preface -- Contents -- Part I Bounded Linear Operators -- 1 Some Basic Properties -- 1.1 Basics -- 1.2 Questions -- 1.2.1 Does the ``Banachness'' of B(X,Y) Yield That of Y? -- 1.2.2 An Operator A≠0 with A2=0 and So "026B30D A2"026B30D ≠"026B30D A"026B30D 2 -- 1.2.3 A,BB(H) with ABAB=0 but BABA≠0 -- 1.2.4 An Operator Commuting with Both A+B and AB, But It Does Not Commute with Any of A and B -- 1.2.5 The Non-transitivity of the Relation of Commutativity -- 1.2.6 Two Operators A,B with "026B30D AB-BA"026B30D =2"026B30D A"026B30D "026B30D B"026B30D -- 1.2.7 Two Nilpotent Operators Such That Their Sum and Their Product Are Not Nilpotent -- 1.2.8 Two Non-nilpotent Operators Such That Their Sum and Their Product Are Nilpotent -- 1.2.9 An Invertible Operator A with "026B30D A-1"026B30D ≠1/"026B30D A"026B30D -- 1.2.10 An AB(H) Such That I-A Is Invertible and Yet "026B30D A"026B30D ≥1 -- 1.2.11 Two Non-invertible A,BB(H) Such That AB Is Invertible -- 1.2.12 Two A,B Such That A+B=AB but AB≠BA -- 1.2.13 Left (Resp. Right) Invertible Operators with Many Left (Resp. Right) Inverses -- 1.2.14 An Injective Operator That Is Not Left Invertible -- 1.2.15 An A≠0 Such That "426830A Ax,x"526…