scholarly journals On the spectral properties of tensor products of linear operators in Banach spaces

1982 ◽  
Vol 8 (1) ◽  
pp. 295-300 ◽  
Author(s):  
Takashi Ichinose
Keyword(s):  
Banach Spaces ◽  
Spectral Properties ◽  
Tensor Products ◽  
Linear Operators

scholarly journals A note on the common spectral properties for bounded linear operators

Filomat ◽  
2019 ◽  
Vol 33 (14) ◽  
pp. 4575-4584
Author(s):  
Hassane Zguitti
Keyword(s):  
Banach Spaces ◽  
Spectral Properties ◽  
Linear Operators ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
The Common

Let X and Y be Banach spaces, A : X ? Y and B, C : Y ? X be bounded linear operators. We prove that if A(BA)2 = ABACA = ACABA = (AC)2A, then ?*(AC) {0} = ?*(BA)\{0} where ?+ runs over a large of spectra originated by regularities.

scholarly journals Five short lemmas in Banach spaces

2016 ◽  
Vol 32 (1) ◽  
pp. 131-140
Author(s):  
QINGPING ZENG ◽  
Keyword(s):  
Banach Spaces ◽  
Spectral Theory ◽  
Commutative Diagram ◽  
Spectral Properties ◽  
Linear Operators ◽  
General Question ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Local Spectral Theory

Consider a commutative diagram of bounded linear operators between Banach spaces...with exact rows. In what ways are the spectral and local spectral properties of B related to those of the pairs of operators A and C? In this paper, we give our answers to this general question using tools from local spectral theory.

scholarly journals A spectral radius problem connected with weak compactness

1993 ◽  
Vol 35 (1) ◽  
pp. 85-94 ◽  
Author(s):  
Hans-Olav Tylli
Keyword(s):  
Asymptotic Behaviour ◽  
Banach Spaces ◽  
Spectral Radius ◽  
Spectral Properties ◽  
Weak Compactness ◽  
Linear Operators ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Radius Problem

The asymptotic behaviour has been determined for several natural geometric or topological quantities related to (degrees of) compactness of bounded linear operators on Banach spaces; see for instance [24], [25] and [17]. This paper complements these results by studying the spectral properties of some quantities related to weak compactness.

scholarly journals Operators on Tensor Products of ℒ1, ℒ2 and ℒ∞ Spaces

1973 ◽  
Vol 50 ◽  
pp. 185-198 ◽  
Author(s):  
Takashi Ichinose
Keyword(s):  
Banach Spaces ◽  
Tensor Products ◽  
Linear Operators ◽  
Densely Defined ◽  
Closed Linear Operators

Let A and B be densely defined closed linear operators in complex Banach spaces X, Y, respectively, with nonempty resolvent sets.

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